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Finding the Fourth Proportional to 231,149.64, 346,699.62 and 156,747.36

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Solution

The fourth proportional to 231,149.64, 346,699.62 and 156,747.36 is: 235,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,149.64 : 346,699.62 = 156,747.36 : x
  2. Step 2: Convert to fraction form
    231,149.64/346,699.62 = 156,747.36/x
  3. Step 3: Cross multiply
    231,149.64x = 346,699.62 × 156,747.36
  4. Step 4: Simplify right side
    231,149.64x = 54,344,250,148.00
  5. Step 5: Solve for x
    x = 54,344,250,148.00/231,149.64
  6. Step 6: Final answer
    x = 235,104.20

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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.