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Finding the Fourth Proportional to 159,074.60, 219,523.52 and 87,459.16

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Solution

The fourth proportional to 159,074.60, 219,523.52 and 87,459.16 is: 120,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,074.60 : 219,523.52 = 87,459.16 : x
  2. Step 2: Convert to fraction form
    159,074.60/219,523.52 = 87,459.16/x
  3. Step 3: Cross multiply
    159,074.60x = 219,523.52 × 87,459.16
  4. Step 4: Simplify right side
    159,074.60x = 19,199,342,248.93
  5. Step 5: Solve for x
    x = 19,199,342,248.93/159,074.60
  6. Step 6: Final answer
    x = 120,693.95

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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.