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Finding the Fourth Proportional to 142,475.44, 213,732.60 and 59,350

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Solution

The fourth proportional to 142,475.44, 213,732.60 and 59,350 is: 89,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,475.44 : 213,732.60 = 59,350 : x
  2. Step 2: Convert to fraction form
    142,475.44/213,732.60 = 59,350/x
  3. Step 3: Cross multiply
    142,475.44x = 213,732.60 × 59,350
  4. Step 4: Simplify right side
    142,475.44x = 12,685,029,810
  5. Step 5: Solve for x
    x = 12,685,029,810/142,475.44
  6. Step 6: Final answer
    x = 89,033.10

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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.