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Finding the Fourth Proportional to 100,178.18, 150,266.01 and 40,233.20

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Solution

The fourth proportional to 100,178.18, 150,266.01 and 40,233.20 is: 60,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.18 : 150,266.01 = 40,233.20 : x
  2. Step 2: Convert to fraction form
    100,178.18/150,266.01 = 40,233.20/x
  3. Step 3: Cross multiply
    100,178.18x = 150,266.01 × 40,233.20
  4. Step 4: Simplify right side
    100,178.18x = 6,045,681,682.20
  5. Step 5: Solve for x
    x = 6,045,681,682.20/100,178.18
  6. Step 6: Final answer
    x = 60,349.29

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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.