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Finding the Fourth Proportional to 101,843.16, 152,764.44 and 57,449.76

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Solution

The fourth proportional to 101,843.16, 152,764.44 and 57,449.76 is: 86,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,843.16 : 152,764.44 = 57,449.76 : x
  2. Step 2: Convert to fraction form
    101,843.16/152,764.44 = 57,449.76/x
  3. Step 3: Cross multiply
    101,843.16x = 152,764.44 × 57,449.76
  4. Step 4: Simplify right side
    101,843.16x = 8,776,280,414.53
  5. Step 5: Solve for x
    x = 8,776,280,414.53/101,843.16
  6. Step 6: Final answer
    x = 86,174.47

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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.