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Finding the Fourth Proportional to 137,732.60, 206,210.10 and 133,844.60

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Solution

The fourth proportional to 137,732.60, 206,210.10 and 133,844.60 is: 200,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,732.60 : 206,210.10 = 133,844.60 : x
  2. Step 2: Convert to fraction form
    137,732.60/206,210.10 = 133,844.60/x
  3. Step 3: Cross multiply
    137,732.60x = 206,210.10 × 133,844.60
  4. Step 4: Simplify right side
    137,732.60x = 27,600,108,350.46
  5. Step 5: Solve for x
    x = 27,600,108,350.46/137,732.60
  6. Step 6: Final answer
    x = 200,389.08

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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.