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Finding the Fourth Proportional to 159,468.70, 239,116.65 and 65,983.90

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Solution

The fourth proportional to 159,468.70, 239,116.65 and 65,983.90 is: 98,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,468.70 : 239,116.65 = 65,983.90 : x
  2. Step 2: Convert to fraction form
    159,468.70/239,116.65 = 65,983.90/x
  3. Step 3: Cross multiply
    159,468.70x = 239,116.65 × 65,983.90
  4. Step 4: Simplify right side
    159,468.70x = 15,777,849,121.94
  5. Step 5: Solve for x
    x = 15,777,849,121.94/159,468.70
  6. Step 6: Final answer
    x = 98,940.10

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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.