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Finding the Fourth Proportional to 231,732.46, 347,730.16 and 125,114.98

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Solution

The fourth proportional to 231,732.46, 347,730.16 and 125,114.98 is: 187,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,732.46 : 347,730.16 = 125,114.98 : x
  2. Step 2: Convert to fraction form
    231,732.46/347,730.16 = 125,114.98/x
  3. Step 3: Cross multiply
    231,732.46x = 347,730.16 × 125,114.98
  4. Step 4: Simplify right side
    231,732.46x = 43,506,252,013.80
  5. Step 5: Solve for x
    x = 43,506,252,013.80/231,732.46
  6. Step 6: Final answer
    x = 187,743.45

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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.