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Finding the Fourth Proportional to 142,765.80, 214,148.70 and 137,322.60

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Solution

The fourth proportional to 142,765.80, 214,148.70 and 137,322.60 is: 205,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,765.80 : 214,148.70 = 137,322.60 : x
  2. Step 2: Convert to fraction form
    142,765.80/214,148.70 = 137,322.60/x
  3. Step 3: Cross multiply
    142,765.80x = 214,148.70 × 137,322.60
  4. Step 4: Simplify right side
    142,765.80x = 29,407,456,270.62
  5. Step 5: Solve for x
    x = 29,407,456,270.62/142,765.80
  6. Step 6: Final answer
    x = 205,983.90

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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.