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Finding the Fourth Proportional to 159,732.30, 239,099.85 and 117,659.82

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Solution

The fourth proportional to 159,732.30, 239,099.85 and 117,659.82 is: 176,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,732.30 : 239,099.85 = 117,659.82 : x
  2. Step 2: Convert to fraction form
    159,732.30/239,099.85 = 117,659.82/x
  3. Step 3: Cross multiply
    159,732.30x = 239,099.85 × 117,659.82
  4. Step 4: Simplify right side
    159,732.30x = 28,132,445,313.03
  5. Step 5: Solve for x
    x = 28,132,445,313.03/159,732.30
  6. Step 6: Final answer
    x = 176,122.46

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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.