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Finding the Fourth Proportional to 142,979.60, 214,323.60 and 83,784.80

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Solution

The fourth proportional to 142,979.60, 214,323.60 and 83,784.80 is: 125,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,979.60 : 214,323.60 = 83,784.80 : x
  2. Step 2: Convert to fraction form
    142,979.60/214,323.60 = 83,784.80/x
  3. Step 3: Cross multiply
    142,979.60x = 214,323.60 × 83,784.80
  4. Step 4: Simplify right side
    142,979.60x = 17,957,059,961.28
  5. Step 5: Solve for x
    x = 17,957,059,961.28/142,979.60
  6. Step 6: Final answer
    x = 125,591.76

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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.