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Finding the Fourth Proportional to 159,643.76, 239,103.16 and 123,817.48

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Solution

The fourth proportional to 159,643.76, 239,103.16 and 123,817.48 is: 185,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,643.76 : 239,103.16 = 123,817.48 : x
  2. Step 2: Convert to fraction form
    159,643.76/239,103.16 = 123,817.48/x
  3. Step 3: Cross multiply
    159,643.76x = 239,103.16 × 123,817.48
  4. Step 4: Simplify right side
    159,643.76x = 29,605,150,731.24
  5. Step 5: Solve for x
    x = 29,605,150,731.24/159,643.76
  6. Step 6: Final answer
    x = 185,445.09

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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.