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Finding the Fourth Proportional to 127,536.80, 191,305.20 and 105,375.20

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Solution

The fourth proportional to 127,536.80, 191,305.20 and 105,375.20 is: 158,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,536.80 : 191,305.20 = 105,375.20 : x
  2. Step 2: Convert to fraction form
    127,536.80/191,305.20 = 105,375.20/x
  3. Step 3: Cross multiply
    127,536.80x = 191,305.20 × 105,375.20
  4. Step 4: Simplify right side
    127,536.80x = 20,158,823,711.04
  5. Step 5: Solve for x
    x = 20,158,823,711.04/127,536.80
  6. Step 6: Final answer
    x = 158,062.80

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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.