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Finding the Fourth Proportional to 233,761.40, 350,642.10 and 85,998.20

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Solution

The fourth proportional to 233,761.40, 350,642.10 and 85,998.20 is: 128,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,761.40 : 350,642.10 = 85,998.20 : x
  2. Step 2: Convert to fraction form
    233,761.40/350,642.10 = 85,998.20/x
  3. Step 3: Cross multiply
    233,761.40x = 350,642.10 × 85,998.20
  4. Step 4: Simplify right side
    233,761.40x = 30,154,589,444.22
  5. Step 5: Solve for x
    x = 30,154,589,444.22/233,761.40
  6. Step 6: Final answer
    x = 128,997.30

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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.