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Finding the Fourth Proportional to 150,540.66, 207,746.40 and 82,558.11

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Solution

The fourth proportional to 150,540.66, 207,746.40 and 82,558.11 is: 113,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,540.66 : 207,746.40 = 82,558.11 : x
  2. Step 2: Convert to fraction form
    150,540.66/207,746.40 = 82,558.11/x
  3. Step 3: Cross multiply
    150,540.66x = 207,746.40 × 82,558.11
  4. Step 4: Simplify right side
    150,540.66x = 17,151,148,691.78
  5. Step 5: Solve for x
    x = 17,151,148,691.78/150,540.66
  6. Step 6: Final answer
    x = 113,930.34

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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.