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Finding the Fourth Proportional to 242,402.50, 363,643.14 and 71,641.54

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Solution

The fourth proportional to 242,402.50, 363,643.14 and 71,641.54 is: 107,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,402.50 : 363,643.14 = 71,641.54 : x
  2. Step 2: Convert to fraction form
    242,402.50/363,643.14 = 71,641.54/x
  3. Step 3: Cross multiply
    242,402.50x = 363,643.14 × 71,641.54
  4. Step 4: Simplify right side
    242,402.50x = 26,051,954,560.04
  5. Step 5: Solve for x
    x = 26,051,954,560.04/242,402.50
  6. Step 6: Final answer
    x = 107,473.95

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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.