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Finding the Fourth Proportional to 279,053.64, 418,580.46 and 82,061.64

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Solution

The fourth proportional to 279,053.64, 418,580.46 and 82,061.64 is: 123,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,053.64 : 418,580.46 = 82,061.64 : x
  2. Step 2: Convert to fraction form
    279,053.64/418,580.46 = 82,061.64/x
  3. Step 3: Cross multiply
    279,053.64x = 418,580.46 × 82,061.64
  4. Step 4: Simplify right side
    279,053.64x = 34,349,399,019.55
  5. Step 5: Solve for x
    x = 34,349,399,019.55/279,053.64
  6. Step 6: Final answer
    x = 123,092.46

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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.