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Finding the Fourth Proportional to 113,235.52, 169,691.76 and 83,418.88

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Solution

The fourth proportional to 113,235.52, 169,691.76 and 83,418.88 is: 125,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,235.52 : 169,691.76 = 83,418.88 : x
  2. Step 2: Convert to fraction form
    113,235.52/169,691.76 = 83,418.88/x
  3. Step 3: Cross multiply
    113,235.52x = 169,691.76 × 83,418.88
  4. Step 4: Simplify right side
    113,235.52x = 14,155,496,564.43
  5. Step 5: Solve for x
    x = 14,155,496,564.43/113,235.52
  6. Step 6: Final answer
    x = 125,009.33

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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.