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Finding the Fourth Proportional to 113,870.44, 170,823.90 and 57,687.80

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Solution

The fourth proportional to 113,870.44, 170,823.90 and 57,687.80 is: 86,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,870.44 : 170,823.90 = 57,687.80 : x
  2. Step 2: Convert to fraction form
    113,870.44/170,823.90 = 57,687.80/x
  3. Step 3: Cross multiply
    113,870.44x = 170,823.90 × 57,687.80
  4. Step 4: Simplify right side
    113,870.44x = 9,854,454,340.63
  5. Step 5: Solve for x
    x = 9,854,454,340.63/113,870.44
  6. Step 6: Final answer
    x = 86,540.93

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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.