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Finding the Fourth Proportional to 138,000.30, 207,000.45 and 114,672.30

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Solution

The fourth proportional to 138,000.30, 207,000.45 and 114,672.30 is: 172,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,000.30 : 207,000.45 = 114,672.30 : x
  2. Step 2: Convert to fraction form
    138,000.30/207,000.45 = 114,672.30/x
  3. Step 3: Cross multiply
    138,000.30x = 207,000.45 × 114,672.30
  4. Step 4: Simplify right side
    138,000.30x = 23,737,217,702.54
  5. Step 5: Solve for x
    x = 23,737,217,702.54/138,000.30
  6. Step 6: Final answer
    x = 172,008.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.