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Finding the Fourth Proportional to 159,963.40, 239,829.90 and 89,864.20

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Solution

The fourth proportional to 159,963.40, 239,829.90 and 89,864.20 is: 134,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,963.40 : 239,829.90 = 89,864.20 : x
  2. Step 2: Convert to fraction form
    159,963.40/239,829.90 = 89,864.20/x
  3. Step 3: Cross multiply
    159,963.40x = 239,829.90 × 89,864.20
  4. Step 4: Simplify right side
    159,963.40x = 21,552,122,099.58
  5. Step 5: Solve for x
    x = 21,552,122,099.58/159,963.40
  6. Step 6: Final answer
    x = 134,731.58

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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.