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Finding the Fourth Proportional to 242,545.96, 363,819.62 and 84,774.43

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Solution

The fourth proportional to 242,545.96, 363,819.62 and 84,774.43 is: 127,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,545.96 : 363,819.62 = 84,774.43 : x
  2. Step 2: Convert to fraction form
    242,545.96/363,819.62 = 84,774.43/x
  3. Step 3: Cross multiply
    242,545.96x = 363,819.62 × 84,774.43
  4. Step 4: Simplify right side
    242,545.96x = 30,842,600,908.32
  5. Step 5: Solve for x
    x = 30,842,600,908.32/242,545.96
  6. Step 6: Final answer
    x = 127,161.88

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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.