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Finding the Fourth Proportional to 126,042.40, 189,063.60 and 102,422.80

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Solution

The fourth proportional to 126,042.40, 189,063.60 and 102,422.80 is: 153,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,042.40 : 189,063.60 = 102,422.80 : x
  2. Step 2: Convert to fraction form
    126,042.40/189,063.60 = 102,422.80/x
  3. Step 3: Cross multiply
    126,042.40x = 189,063.60 × 102,422.80
  4. Step 4: Simplify right side
    126,042.40x = 19,364,423,290.08
  5. Step 5: Solve for x
    x = 19,364,423,290.08/126,042.40
  6. Step 6: Final answer
    x = 153,634.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.