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Finding the Fourth Proportional to 269,030.80, 403,545.12 and 82,041.76

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Solution

The fourth proportional to 269,030.80, 403,545.12 and 82,041.76 is: 123,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,030.80 : 403,545.12 = 82,041.76 : x
  2. Step 2: Convert to fraction form
    269,030.80/403,545.12 = 82,041.76/x
  3. Step 3: Cross multiply
    269,030.80x = 403,545.12 × 82,041.76
  4. Step 4: Simplify right side
    269,030.80x = 33,107,551,884.21
  5. Step 5: Solve for x
    x = 33,107,551,884.21/269,030.80
  6. Step 6: Final answer
    x = 123,062.31

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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.