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Finding the Fourth Proportional to 153,847.82, 230,721.85 and 51,237.83

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Solution

The fourth proportional to 153,847.82, 230,721.85 and 51,237.83 is: 76,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,847.82 : 230,721.85 = 51,237.83 : x
  2. Step 2: Convert to fraction form
    153,847.82/230,721.85 = 51,237.83/x
  3. Step 3: Cross multiply
    153,847.82x = 230,721.85 × 51,237.83
  4. Step 4: Simplify right side
    153,847.82x = 11,821,687,568.44
  5. Step 5: Solve for x
    x = 11,821,687,568.44/153,847.82
  6. Step 6: Final answer
    x = 76,840.14

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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.