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Finding the Fourth Proportional to 151,730.38, 209,486.55 and 135,787.42

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Solution

The fourth proportional to 151,730.38, 209,486.55 and 135,787.42 is: 187,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,730.38 : 209,486.55 = 135,787.42 : x
  2. Step 2: Convert to fraction form
    151,730.38/209,486.55 = 135,787.42/x
  3. Step 3: Cross multiply
    151,730.38x = 209,486.55 × 135,787.42
  4. Step 4: Simplify right side
    151,730.38x = 28,445,638,149.20
  5. Step 5: Solve for x
    x = 28,445,638,149.20/151,730.38
  6. Step 6: Final answer
    x = 187,474.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.