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Finding the Fourth Proportional to 159,833.88, 239,560.16 and 74,329.31

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Solution

The fourth proportional to 159,833.88, 239,560.16 and 74,329.31 is: 111,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,833.88 : 239,560.16 = 74,329.31 : x
  2. Step 2: Convert to fraction form
    159,833.88/239,560.16 = 74,329.31/x
  3. Step 3: Cross multiply
    159,833.88x = 239,560.16 × 74,329.31
  4. Step 4: Simplify right side
    159,833.88x = 17,806,341,024.64
  5. Step 5: Solve for x
    x = 17,806,341,024.64/159,833.88
  6. Step 6: Final answer
    x = 111,405.30

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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.