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Finding the Fourth Proportional to 159,850.64, 220,590.52 and 87,251.14

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Solution

The fourth proportional to 159,850.64, 220,590.52 and 87,251.14 is: 120,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,850.64 : 220,590.52 = 87,251.14 : x
  2. Step 2: Convert to fraction form
    159,850.64/220,590.52 = 87,251.14/x
  3. Step 3: Cross multiply
    159,850.64x = 220,590.52 × 87,251.14
  4. Step 4: Simplify right side
    159,850.64x = 19,246,774,343.19
  5. Step 5: Solve for x
    x = 19,246,774,343.19/159,850.64
  6. Step 6: Final answer
    x = 120,404.74

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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.