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Finding the Fourth Proportional to 136,034.91, 187,713.91 and 75,595.80

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Solution

The fourth proportional to 136,034.91, 187,713.91 and 75,595.80 is: 104,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,034.91 : 187,713.91 = 75,595.80 : x
  2. Step 2: Convert to fraction form
    136,034.91/187,713.91 = 75,595.80/x
  3. Step 3: Cross multiply
    136,034.91x = 187,713.91 × 75,595.80
  4. Step 4: Simplify right side
    136,034.91x = 14,190,382,514.88
  5. Step 5: Solve for x
    x = 14,190,382,514.88/136,034.91
  6. Step 6: Final answer
    x = 104,314.27

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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.