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Finding the Fourth Proportional to 159,149.17, 238,723.82 and 40,820.50

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Solution

The fourth proportional to 159,149.17, 238,723.82 and 40,820.50 is: 61,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,149.17 : 238,723.82 = 40,820.50 : x
  2. Step 2: Convert to fraction form
    159,149.17/238,723.82 = 40,820.50/x
  3. Step 3: Cross multiply
    159,149.17x = 238,723.82 × 40,820.50
  4. Step 4: Simplify right side
    159,149.17x = 9,744,825,694.31
  5. Step 5: Solve for x
    x = 9,744,825,694.31/159,149.17
  6. Step 6: Final answer
    x = 61,230.77

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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.