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Finding the Fourth Proportional to 142,871.56, 214,292.28 and 58,640.60

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Solution

The fourth proportional to 142,871.56, 214,292.28 and 58,640.60 is: 87,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,871.56 : 214,292.28 = 58,640.60 : x
  2. Step 2: Convert to fraction form
    142,871.56/214,292.28 = 58,640.60/x
  3. Step 3: Cross multiply
    142,871.56x = 214,292.28 × 58,640.60
  4. Step 4: Simplify right side
    142,871.56x = 12,566,227,874.57
  5. Step 5: Solve for x
    x = 12,566,227,874.57/142,871.56
  6. Step 6: Final answer
    x = 87,954.72

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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.