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Finding the Fourth Proportional to 142,765.60, 214,148.40 and 72,781.60

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Solution

The fourth proportional to 142,765.60, 214,148.40 and 72,781.60 is: 109,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,765.60 : 214,148.40 = 72,781.60 : x
  2. Step 2: Convert to fraction form
    142,765.60/214,148.40 = 72,781.60/x
  3. Step 3: Cross multiply
    142,765.60x = 214,148.40 × 72,781.60
  4. Step 4: Simplify right side
    142,765.60x = 15,586,063,189.44
  5. Step 5: Solve for x
    x = 15,586,063,189.44/142,765.60
  6. Step 6: Final answer
    x = 109,172.40

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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.