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Finding the Fourth Proportional to 232,733.56, 349,120.40 and 64,253.92

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Solution

The fourth proportional to 232,733.56, 349,120.40 and 64,253.92 is: 96,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,733.56 : 349,120.40 = 64,253.92 : x
  2. Step 2: Convert to fraction form
    232,733.56/349,120.40 = 64,253.92/x
  3. Step 3: Cross multiply
    232,733.56x = 349,120.40 × 64,253.92
  4. Step 4: Simplify right side
    232,733.56x = 22,432,354,251.97
  5. Step 5: Solve for x
    x = 22,432,354,251.97/232,733.56
  6. Step 6: Final answer
    x = 96,386.42

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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.