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Finding the Fourth Proportional to 159,149.49, 238,724.28 and 40,820.83

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Solution

The fourth proportional to 159,149.49, 238,724.28 and 40,820.83 is: 61,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,149.49 : 238,724.28 = 40,820.83 : x
  2. Step 2: Convert to fraction form
    159,149.49/238,724.28 = 40,820.83/x
  3. Step 3: Cross multiply
    159,149.49x = 238,724.28 × 40,820.83
  4. Step 4: Simplify right side
    159,149.49x = 9,744,922,653.94
  5. Step 5: Solve for x
    x = 9,744,922,653.94/159,149.49
  6. Step 6: Final answer
    x = 61,231.25

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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.