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Finding the Fourth Proportional to 232,892.92, 349,339.38 and 185,925.88

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Solution

The fourth proportional to 232,892.92, 349,339.38 and 185,925.88 is: 278,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,892.92 : 349,339.38 = 185,925.88 : x
  2. Step 2: Convert to fraction form
    232,892.92/349,339.38 = 185,925.88/x
  3. Step 3: Cross multiply
    232,892.92x = 349,339.38 × 185,925.88
  4. Step 4: Simplify right side
    232,892.92x = 64,951,231,645.15
  5. Step 5: Solve for x
    x = 64,951,231,645.15/232,892.92
  6. Step 6: Final answer
    x = 278,888.82

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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.