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Finding the Fourth Proportional to 178,699.10, 267,969.92 and 83,956.21

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Solution

The fourth proportional to 178,699.10, 267,969.92 and 83,956.21 is: 125,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,699.10 : 267,969.92 = 83,956.21 : x
  2. Step 2: Convert to fraction form
    178,699.10/267,969.92 = 83,956.21/x
  3. Step 3: Cross multiply
    178,699.10x = 267,969.92 × 83,956.21
  4. Step 4: Simplify right side
    178,699.10x = 22,497,737,787.50
  5. Step 5: Solve for x
    x = 22,497,737,787.50/178,699.10
  6. Step 6: Final answer
    x = 125,897.32

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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.