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Finding the Fourth Proportional to 142,648.20, 213,713.10 and 116,209.80

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Solution

The fourth proportional to 142,648.20, 213,713.10 and 116,209.80 is: 174,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,648.20 : 213,713.10 = 116,209.80 : x
  2. Step 2: Convert to fraction form
    142,648.20/213,713.10 = 116,209.80/x
  3. Step 3: Cross multiply
    142,648.20x = 213,713.10 × 116,209.80
  4. Step 4: Simplify right side
    142,648.20x = 24,835,556,608.38
  5. Step 5: Solve for x
    x = 24,835,556,608.38/142,648.20
  6. Step 6: Final answer
    x = 174,103.54

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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.