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Finding the Fourth Proportional to 227,893.47, 341,932.17 and 101,447.31

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Solution

The fourth proportional to 227,893.47, 341,932.17 and 101,447.31 is: 152,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,893.47 : 341,932.17 = 101,447.31 : x
  2. Step 2: Convert to fraction form
    227,893.47/341,932.17 = 101,447.31/x
  3. Step 3: Cross multiply
    227,893.47x = 341,932.17 × 101,447.31
  4. Step 4: Simplify right side
    227,893.47x = 34,688,098,848.96
  5. Step 5: Solve for x
    x = 34,688,098,848.96/227,893.47
  6. Step 6: Final answer
    x = 152,211.90

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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.