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Finding the Fourth Proportional to 231,691.78, 347,508.51 and 73,907.02

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Solution

The fourth proportional to 231,691.78, 347,508.51 and 73,907.02 is: 110,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,691.78 : 347,508.51 = 73,907.02 : x
  2. Step 2: Convert to fraction form
    231,691.78/347,508.51 = 73,907.02/x
  3. Step 3: Cross multiply
    231,691.78x = 347,508.51 × 73,907.02
  4. Step 4: Simplify right side
    231,691.78x = 25,683,318,398.74
  5. Step 5: Solve for x
    x = 25,683,318,398.74/231,691.78
  6. Step 6: Final answer
    x = 110,851.23

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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.