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Finding the Fourth Proportional to 232,841.92, 348,970.90 and 99,565.76

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Solution

The fourth proportional to 232,841.92, 348,970.90 and 99,565.76 is: 149,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,841.92 : 348,970.90 = 99,565.76 : x
  2. Step 2: Convert to fraction form
    232,841.92/348,970.90 = 99,565.76/x
  3. Step 3: Cross multiply
    232,841.92x = 348,970.90 × 99,565.76
  4. Step 4: Simplify right side
    232,841.92x = 34,745,552,876.38
  5. Step 5: Solve for x
    x = 34,745,552,876.38/232,841.92
  6. Step 6: Final answer
    x = 149,223.79

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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.