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Finding the Fourth Proportional to 261,098.56, 391,574.92 and 92,597.48

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Solution

The fourth proportional to 261,098.56, 391,574.92 and 92,597.48 is: 138,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,098.56 : 391,574.92 = 92,597.48 : x
  2. Step 2: Convert to fraction form
    261,098.56/391,574.92 = 92,597.48/x
  3. Step 3: Cross multiply
    261,098.56x = 391,574.92 × 92,597.48
  4. Step 4: Simplify right side
    261,098.56x = 36,258,850,823.20
  5. Step 5: Solve for x
    x = 36,258,850,823.20/261,098.56
  6. Step 6: Final answer
    x = 138,870.36

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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.