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Finding the Fourth Proportional to 103,542.70, 155,459.85 and 64,176.70

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Solution

The fourth proportional to 103,542.70, 155,459.85 and 64,176.70 is: 96,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,542.70 : 155,459.85 = 64,176.70 : x
  2. Step 2: Convert to fraction form
    103,542.70/155,459.85 = 64,176.70/x
  3. Step 3: Cross multiply
    103,542.70x = 155,459.85 × 64,176.70
  4. Step 4: Simplify right side
    103,542.70x = 9,976,900,155.50
  5. Step 5: Solve for x
    x = 9,976,900,155.50/103,542.70
  6. Step 6: Final answer
    x = 96,355.42

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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.