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Finding the Fourth Proportional to 106,818.76, 160,249.76 and 47,654.43

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Solution

The fourth proportional to 106,818.76, 160,249.76 and 47,654.43 is: 71,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,818.76 : 160,249.76 = 47,654.43 : x
  2. Step 2: Convert to fraction form
    106,818.76/160,249.76 = 47,654.43/x
  3. Step 3: Cross multiply
    106,818.76x = 160,249.76 × 47,654.43
  4. Step 4: Simplify right side
    106,818.76x = 7,636,610,970.44
  5. Step 5: Solve for x
    x = 7,636,610,970.44/106,818.76
  6. Step 6: Final answer
    x = 71,491.29

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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.