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Finding the Fourth Proportional to 136,468.40, 204,832.20 and 116,769.20

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Solution

The fourth proportional to 136,468.40, 204,832.20 and 116,769.20 is: 175,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,468.40 : 204,832.20 = 116,769.20 : x
  2. Step 2: Convert to fraction form
    136,468.40/204,832.20 = 116,769.20/x
  3. Step 3: Cross multiply
    136,468.40x = 204,832.20 × 116,769.20
  4. Step 4: Simplify right side
    136,468.40x = 23,918,092,128.24
  5. Step 5: Solve for x
    x = 23,918,092,128.24/136,468.40
  6. Step 6: Final answer
    x = 175,264.69

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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.