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Finding the Fourth Proportional to 207,227.52, 310,841.28 and 137,090.43

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Solution

The fourth proportional to 207,227.52, 310,841.28 and 137,090.43 is: 205,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,227.52 : 310,841.28 = 137,090.43 : x
  2. Step 2: Convert to fraction form
    207,227.52/310,841.28 = 137,090.43/x
  3. Step 3: Cross multiply
    207,227.52x = 310,841.28 × 137,090.43
  4. Step 4: Simplify right side
    207,227.52x = 42,613,364,736.95
  5. Step 5: Solve for x
    x = 42,613,364,736.95/207,227.52
  6. Step 6: Final answer
    x = 205,635.65

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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.