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Finding the Fourth Proportional to 142,589.44, 213,840.96 and 59,464

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Solution

The fourth proportional to 142,589.44, 213,840.96 and 59,464 is: 89,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,589.44 : 213,840.96 = 59,464 : x
  2. Step 2: Convert to fraction form
    142,589.44/213,840.96 = 59,464/x
  3. Step 3: Cross multiply
    142,589.44x = 213,840.96 × 59,464
  4. Step 4: Simplify right side
    142,589.44x = 12,715,838,845.44
  5. Step 5: Solve for x
    x = 12,715,838,845.44/142,589.44
  6. Step 6: Final answer
    x = 89,177.98

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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.