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Finding the Fourth Proportional to 142,357.50, 213,665.04 and 75,853.80

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Solution

The fourth proportional to 142,357.50, 213,665.04 and 75,853.80 is: 113,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,357.50 : 213,665.04 = 75,853.80 : x
  2. Step 2: Convert to fraction form
    142,357.50/213,665.04 = 75,853.80/x
  3. Step 3: Cross multiply
    142,357.50x = 213,665.04 × 75,853.80
  4. Step 4: Simplify right side
    142,357.50x = 16,207,305,211.15
  5. Step 5: Solve for x
    x = 16,207,305,211.15/142,357.50
  6. Step 6: Final answer
    x = 113,849.32

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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.