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Finding the Fourth Proportional to 109,654,497.70, 164,481,746.55 and 97,750,219.30

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Solution

The fourth proportional to 109,654,497.70, 164,481,746.55 and 97,750,219.30 is: 146,625,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,654,497.70 : 164,481,746.55 = 97,750,219.30 : x
  2. Step 2: Convert to fraction form
    109,654,497.70/164,481,746.55 = 97,750,219.30/x
  3. Step 3: Cross multiply
    109,654,497.70x = 164,481,746.55 × 97,750,219.30
  4. Step 4: Simplify right side
    109,654,497.70x = 16,078,126,796,109,520
  5. Step 5: Solve for x
    x = 16,078,126,796,109,520/109,654,497.70
  6. Step 6: Final answer
    x = 146,625,328.95

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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.