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Finding the Fourth Proportional to 126,103.68, 174,003.84 and 75,100.80

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Solution

The fourth proportional to 126,103.68, 174,003.84 and 75,100.80 is: 103,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,103.68 : 174,003.84 = 75,100.80 : x
  2. Step 2: Convert to fraction form
    126,103.68/174,003.84 = 75,100.80/x
  3. Step 3: Cross multiply
    126,103.68x = 174,003.84 × 75,100.80
  4. Step 4: Simplify right side
    126,103.68x = 13,067,827,587.07
  5. Step 5: Solve for x
    x = 13,067,827,587.07/126,103.68
  6. Step 6: Final answer
    x = 103,627.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.