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Finding the Fourth Proportional to 103,502.30, 155,253.45 and 99,565.70

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Solution

The fourth proportional to 103,502.30, 155,253.45 and 99,565.70 is: 149,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,502.30 : 155,253.45 = 99,565.70 : x
  2. Step 2: Convert to fraction form
    103,502.30/155,253.45 = 99,565.70/x
  3. Step 3: Cross multiply
    103,502.30x = 155,253.45 × 99,565.70
  4. Step 4: Simplify right side
    103,502.30x = 15,457,918,426.67
  5. Step 5: Solve for x
    x = 15,457,918,426.67/103,502.30
  6. Step 6: Final answer
    x = 149,348.55

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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.