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Finding the Fourth Proportional to 158,257.60, 237,422.40 and 47,446.72

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Solution

The fourth proportional to 158,257.60, 237,422.40 and 47,446.72 is: 71,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,257.60 : 237,422.40 = 47,446.72 : x
  2. Step 2: Convert to fraction form
    158,257.60/237,422.40 = 47,446.72/x
  3. Step 3: Cross multiply
    158,257.60x = 237,422.40 × 47,446.72
  4. Step 4: Simplify right side
    158,257.60x = 11,264,914,134.53
  5. Step 5: Solve for x
    x = 11,264,914,134.53/158,257.60
  6. Step 6: Final answer
    x = 71,180.87

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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.