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Finding the Fourth Proportional to 280,519.38, 387,118.17 and 153,194.97

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Solution

The fourth proportional to 280,519.38, 387,118.17 and 153,194.97 is: 211,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,519.38 : 387,118.17 = 153,194.97 : x
  2. Step 2: Convert to fraction form
    280,519.38/387,118.17 = 153,194.97/x
  3. Step 3: Cross multiply
    280,519.38x = 387,118.17 × 153,194.97
  4. Step 4: Simplify right side
    280,519.38x = 59,304,556,439.60
  5. Step 5: Solve for x
    x = 59,304,556,439.60/280,519.38
  6. Step 6: Final answer
    x = 211,409.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.