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Finding the Fourth Proportional to 142,753.80, 214,130.70 and 137,310.60

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Solution

The fourth proportional to 142,753.80, 214,130.70 and 137,310.60 is: 205,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,753.80 : 214,130.70 = 137,310.60 : x
  2. Step 2: Convert to fraction form
    142,753.80/214,130.70 = 137,310.60/x
  3. Step 3: Cross multiply
    142,753.80x = 214,130.70 × 137,310.60
  4. Step 4: Simplify right side
    142,753.80x = 29,402,414,895.42
  5. Step 5: Solve for x
    x = 29,402,414,895.42/142,753.80
  6. Step 6: Final answer
    x = 205,965.90

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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.