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Finding the Fourth Proportional to 82,253.40, 123,415.20 and 40,170.66

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Solution

The fourth proportional to 82,253.40, 123,415.20 and 40,170.66 is: 60,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,253.40 : 123,415.20 = 40,170.66 : x
  2. Step 2: Convert to fraction form
    82,253.40/123,415.20 = 40,170.66/x
  3. Step 3: Cross multiply
    82,253.40x = 123,415.20 × 40,170.66
  4. Step 4: Simplify right side
    82,253.40x = 4,957,670,038.03
  5. Step 5: Solve for x
    x = 4,957,670,038.03/82,253.40
  6. Step 6: Final answer
    x = 60,273.13

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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.