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Finding the Fourth Proportional to 272,696.96, 409,067.28 and 95,200.04

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Solution

The fourth proportional to 272,696.96, 409,067.28 and 95,200.04 is: 142,807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,696.96 : 409,067.28 = 95,200.04 : x
  2. Step 2: Convert to fraction form
    272,696.96/409,067.28 = 95,200.04/x
  3. Step 3: Cross multiply
    272,696.96x = 409,067.28 × 95,200.04
  4. Step 4: Simplify right side
    272,696.96x = 38,943,221,418.69
  5. Step 5: Solve for x
    x = 38,943,221,418.69/272,696.96
  6. Step 6: Final answer
    x = 142,807.68

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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.