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Finding the Fourth Proportional to 150,673.01, 207,928.10 and 82,691.08

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Solution

The fourth proportional to 150,673.01, 207,928.10 and 82,691.08 is: 114,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,673.01 : 207,928.10 = 82,691.08 : x
  2. Step 2: Convert to fraction form
    150,673.01/207,928.10 = 82,691.08/x
  3. Step 3: Cross multiply
    150,673.01x = 207,928.10 × 82,691.08
  4. Step 4: Simplify right side
    150,673.01x = 17,193,799,151.35
  5. Step 5: Solve for x
    x = 17,193,799,151.35/150,673.01
  6. Step 6: Final answer
    x = 114,113.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.