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Finding the Fourth Proportional to 232,910.56, 321,417.84 and 132,312.16

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Solution

The fourth proportional to 232,910.56, 321,417.84 and 132,312.16 is: 182,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,910.56 : 321,417.84 = 132,312.16 : x
  2. Step 2: Convert to fraction form
    232,910.56/321,417.84 = 132,312.16/x
  3. Step 3: Cross multiply
    232,910.56x = 321,417.84 × 132,312.16
  4. Step 4: Simplify right side
    232,910.56x = 42,527,488,672.93
  5. Step 5: Solve for x
    x = 42,527,488,672.93/232,910.56
  6. Step 6: Final answer
    x = 182,591.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.