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Finding the Fourth Proportional to 204,565.60, 307,165.20 and 111,253.60

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Solution

The fourth proportional to 204,565.60, 307,165.20 and 111,253.60 is: 167,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,565.60 : 307,165.20 = 111,253.60 : x
  2. Step 2: Convert to fraction form
    204,565.60/307,165.20 = 111,253.60/x
  3. Step 3: Cross multiply
    204,565.60x = 307,165.20 × 111,253.60
  4. Step 4: Simplify right side
    204,565.60x = 34,173,234,294.72
  5. Step 5: Solve for x
    x = 34,173,234,294.72/204,565.60
  6. Step 6: Final answer
    x = 167,052.69

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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.