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Finding the Fourth Proportional to 189,053.88, 283,580.01 and 55,934.97

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Solution

The fourth proportional to 189,053.88, 283,580.01 and 55,934.97 is: 83,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,053.88 : 283,580.01 = 55,934.97 : x
  2. Step 2: Convert to fraction form
    189,053.88/283,580.01 = 55,934.97/x
  3. Step 3: Cross multiply
    189,053.88x = 283,580.01 × 55,934.97
  4. Step 4: Simplify right side
    189,053.88x = 15,862,039,351.95
  5. Step 5: Solve for x
    x = 15,862,039,351.95/189,053.88
  6. Step 6: Final answer
    x = 83,902.22

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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.