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Finding the Fourth Proportional to 137,165.44, 205,785.14 and 57,176.82

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Solution

The fourth proportional to 137,165.44, 205,785.14 and 57,176.82 is: 85,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,165.44 : 205,785.14 = 57,176.82 : x
  2. Step 2: Convert to fraction form
    137,165.44/205,785.14 = 57,176.82/x
  3. Step 3: Cross multiply
    137,165.44x = 205,785.14 × 57,176.82
  4. Step 4: Simplify right side
    137,165.44x = 11,766,139,622.57
  5. Step 5: Solve for x
    x = 11,766,139,622.57/137,165.44
  6. Step 6: Final answer
    x = 85,780.64

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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.