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Finding the Fourth Proportional to 204,624.86, 307,129.26 and 125,892.86

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Solution

The fourth proportional to 204,624.86, 307,129.26 and 125,892.86 is: 188,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,624.86 : 307,129.26 = 125,892.86 : x
  2. Step 2: Convert to fraction form
    204,624.86/307,129.26 = 125,892.86/x
  3. Step 3: Cross multiply
    204,624.86x = 307,129.26 × 125,892.86
  4. Step 4: Simplify right side
    204,624.86x = 38,665,380,931.08
  5. Step 5: Solve for x
    x = 38,665,380,931.08/204,624.86
  6. Step 6: Final answer
    x = 188,957.40

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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.