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Finding the Fourth Proportional to 159,547.82, 239,321.46 and 74,111.96

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Solution

The fourth proportional to 159,547.82, 239,321.46 and 74,111.96 is: 111,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,547.82 : 239,321.46 = 74,111.96 : x
  2. Step 2: Convert to fraction form
    159,547.82/239,321.46 = 74,111.96/x
  3. Step 3: Cross multiply
    159,547.82x = 239,321.46 × 74,111.96
  4. Step 4: Simplify right side
    159,547.82x = 17,736,582,470.66
  5. Step 5: Solve for x
    x = 17,736,582,470.66/159,547.82
  6. Step 6: Final answer
    x = 111,167.81

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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.