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Finding the Fourth Proportional to 109,654,491.70, 164,481,737.55 and 106,465,845.70

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Solution

The fourth proportional to 109,654,491.70, 164,481,737.55 and 106,465,845.70 is: 159,698,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,654,491.70 : 164,481,737.55 = 106,465,845.70 : x
  2. Step 2: Convert to fraction form
    109,654,491.70/164,481,737.55 = 106,465,845.70/x
  3. Step 3: Cross multiply
    109,654,491.70x = 164,481,737.55 × 106,465,845.70
  4. Step 4: Simplify right side
    109,654,491.70x = 17,511,687,290,466,198
  5. Step 5: Solve for x
    x = 17,511,687,290,466,198/109,654,491.70
  6. Step 6: Final answer
    x = 159,698,768.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.