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Finding the Fourth Proportional to 142,118.50, 213,052.38 and 57,949.07

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Solution

The fourth proportional to 142,118.50, 213,052.38 and 57,949.07 is: 86,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,118.50 : 213,052.38 = 57,949.07 : x
  2. Step 2: Convert to fraction form
    142,118.50/213,052.38 = 57,949.07/x
  3. Step 3: Cross multiply
    142,118.50x = 213,052.38 × 57,949.07
  4. Step 4: Simplify right side
    142,118.50x = 12,346,187,198.14
  5. Step 5: Solve for x
    x = 12,346,187,198.14/142,118.50
  6. Step 6: Final answer
    x = 86,872.48

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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.