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Finding the Fourth Proportional to 147,214.80, 220,822.20 and 137,373.30

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Solution

The fourth proportional to 147,214.80, 220,822.20 and 137,373.30 is: 206,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,214.80 : 220,822.20 = 137,373.30 : x
  2. Step 2: Convert to fraction form
    147,214.80/220,822.20 = 137,373.30/x
  3. Step 3: Cross multiply
    147,214.80x = 220,822.20 × 137,373.30
  4. Step 4: Simplify right side
    147,214.80x = 30,335,074,327.26
  5. Step 5: Solve for x
    x = 30,335,074,327.26/147,214.80
  6. Step 6: Final answer
    x = 206,059.95

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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.