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Finding the Fourth Proportional to 142,652.40, 213,978.60 and 86,665.20

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Solution

The fourth proportional to 142,652.40, 213,978.60 and 86,665.20 is: 129,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,652.40 : 213,978.60 = 86,665.20 : x
  2. Step 2: Convert to fraction form
    142,652.40/213,978.60 = 86,665.20/x
  3. Step 3: Cross multiply
    142,652.40x = 213,978.60 × 86,665.20
  4. Step 4: Simplify right side
    142,652.40x = 18,544,498,164.72
  5. Step 5: Solve for x
    x = 18,544,498,164.72/142,652.40
  6. Step 6: Final answer
    x = 129,997.80

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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.