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Finding the Fourth Proportional to 82,273.73, 123,459.80 and 75,581.51

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Solution

The fourth proportional to 82,273.73, 123,459.80 and 75,581.51 is: 113,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,273.73 : 123,459.80 = 75,581.51 : x
  2. Step 2: Convert to fraction form
    82,273.73/123,459.80 = 75,581.51/x
  3. Step 3: Cross multiply
    82,273.73x = 123,459.80 × 75,581.51
  4. Step 4: Simplify right side
    82,273.73x = 9,331,277,113.09
  5. Step 5: Solve for x
    x = 9,331,277,113.09/82,273.73
  6. Step 6: Final answer
    x = 113,417.46

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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.