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Finding the Fourth Proportional to 232,711.83, 349,048.25 and 92,432.79

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Solution

The fourth proportional to 232,711.83, 349,048.25 and 92,432.79 is: 138,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,711.83 : 349,048.25 = 92,432.79 : x
  2. Step 2: Convert to fraction form
    232,711.83/349,048.25 = 92,432.79/x
  3. Step 3: Cross multiply
    232,711.83x = 349,048.25 × 92,432.79
  4. Step 4: Simplify right side
    232,711.83x = 32,263,503,129.95
  5. Step 5: Solve for x
    x = 32,263,503,129.95/232,711.83
  6. Step 6: Final answer
    x = 138,641.44

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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.