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Finding the Fourth Proportional to 142,833.60, 214,104.60 and 83,638.80

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Solution

The fourth proportional to 142,833.60, 214,104.60 and 83,638.80 is: 125,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,833.60 : 214,104.60 = 83,638.80 : x
  2. Step 2: Convert to fraction form
    142,833.60/214,104.60 = 83,638.80/x
  3. Step 3: Cross multiply
    142,833.60x = 214,104.60 × 83,638.80
  4. Step 4: Simplify right side
    142,833.60x = 17,907,451,818.48
  5. Step 5: Solve for x
    x = 17,907,451,818.48/142,833.60
  6. Step 6: Final answer
    x = 125,372.82

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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.