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Finding the Fourth Proportional to 231,732.80, 347,512.80 and 91,462.40

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Solution

The fourth proportional to 231,732.80, 347,512.80 and 91,462.40 is: 137,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,732.80 : 347,512.80 = 91,462.40 : x
  2. Step 2: Convert to fraction form
    231,732.80/347,512.80 = 91,462.40/x
  3. Step 3: Cross multiply
    231,732.80x = 347,512.80 × 91,462.40
  4. Step 4: Simplify right side
    231,732.80x = 31,784,354,718.72
  5. Step 5: Solve for x
    x = 31,784,354,718.72/231,732.80
  6. Step 6: Final answer
    x = 137,159.50

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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.