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Finding the Fourth Proportional to 82,415.80, 123,623.70 and 74,105.20

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Solution

The fourth proportional to 82,415.80, 123,623.70 and 74,105.20 is: 111,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,415.80 : 123,623.70 = 74,105.20 : x
  2. Step 2: Convert to fraction form
    82,415.80/123,623.70 = 74,105.20/x
  3. Step 3: Cross multiply
    82,415.80x = 123,623.70 × 74,105.20
  4. Step 4: Simplify right side
    82,415.80x = 9,161,159,013.24
  5. Step 5: Solve for x
    x = 9,161,159,013.24/82,415.80
  6. Step 6: Final answer
    x = 111,157.80

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Why These Related Problems?

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