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Finding the Fourth Proportional to 232,740.94, 349,138.76 and 83,002.52

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Solution

The fourth proportional to 232,740.94, 349,138.76 and 83,002.52 is: 124,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,740.94 : 349,138.76 = 83,002.52 : x
  2. Step 2: Convert to fraction form
    232,740.94/349,138.76 = 83,002.52/x
  3. Step 3: Cross multiply
    232,740.94x = 349,138.76 × 83,002.52
  4. Step 4: Simplify right side
    232,740.94x = 28,979,396,909.68
  5. Step 5: Solve for x
    x = 28,979,396,909.68/232,740.94
  6. Step 6: Final answer
    x = 124,513.53

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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.