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Finding the Fourth Proportional to 239,909.57, 359,843.41 and 97,769.76

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Solution

The fourth proportional to 239,909.57, 359,843.41 and 97,769.76 is: 146,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,909.57 : 359,843.41 = 97,769.76 : x
  2. Step 2: Convert to fraction form
    239,909.57/359,843.41 = 97,769.76/x
  3. Step 3: Cross multiply
    239,909.57x = 359,843.41 × 97,769.76
  4. Step 4: Simplify right side
    239,909.57x = 35,181,803,833.28
  5. Step 5: Solve for x
    x = 35,181,803,833.28/239,909.57
  6. Step 6: Final answer
    x = 146,646.10

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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.