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Finding the Fourth Proportional to 125,233.74, 172,829.64 and 74,276.64

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Solution

The fourth proportional to 125,233.74, 172,829.64 and 74,276.64 is: 102,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,233.74 : 172,829.64 = 74,276.64 : x
  2. Step 2: Convert to fraction form
    125,233.74/172,829.64 = 74,276.64/x
  3. Step 3: Cross multiply
    125,233.74x = 172,829.64 × 74,276.64
  4. Step 4: Simplify right side
    125,233.74x = 12,837,204,951.61
  5. Step 5: Solve for x
    x = 12,837,204,951.61/125,233.74
  6. Step 6: Final answer
    x = 102,505.96

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Why These Related Problems?

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