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Finding the Fourth Proportional to 136,042.20, 204,095.70 and 57,115.80

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Solution

The fourth proportional to 136,042.20, 204,095.70 and 57,115.80 is: 85,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,042.20 : 204,095.70 = 57,115.80 : x
  2. Step 2: Convert to fraction form
    136,042.20/204,095.70 = 57,115.80/x
  3. Step 3: Cross multiply
    136,042.20x = 204,095.70 × 57,115.80
  4. Step 4: Simplify right side
    136,042.20x = 11,657,089,182.06
  5. Step 5: Solve for x
    x = 11,657,089,182.06/136,042.20
  6. Step 6: Final answer
    x = 85,687.30

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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.