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Finding the Fourth Proportional to 159,016.64, 238,523.64 and 40,687.60

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Solution

The fourth proportional to 159,016.64, 238,523.64 and 40,687.60 is: 61,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,016.64 : 238,523.64 = 40,687.60 : x
  2. Step 2: Convert to fraction form
    159,016.64/238,523.64 = 40,687.60/x
  3. Step 3: Cross multiply
    159,016.64x = 238,523.64 × 40,687.60
  4. Step 4: Simplify right side
    159,016.64x = 9,704,954,454.86
  5. Step 5: Solve for x
    x = 9,704,954,454.86/159,016.64
  6. Step 6: Final answer
    x = 61,031.06

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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.