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Finding the Fourth Proportional to 113,691.89, 170,464.92 and 47,177.93

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Solution

The fourth proportional to 113,691.89, 170,464.92 and 47,177.93 is: 70,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,691.89 : 170,464.92 = 47,177.93 : x
  2. Step 2: Convert to fraction form
    113,691.89/170,464.92 = 47,177.93/x
  3. Step 3: Cross multiply
    113,691.89x = 170,464.92 × 47,177.93
  4. Step 4: Simplify right side
    113,691.89x = 8,042,181,210.89
  5. Step 5: Solve for x
    x = 8,042,181,210.89/113,691.89
  6. Step 6: Final answer
    x = 70,736.63

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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.