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Finding the Fourth Proportional to 225,754.95, 338,667.48 and 75,983.58

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Solution

The fourth proportional to 225,754.95, 338,667.48 and 75,983.58 is: 113,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,754.95 : 338,667.48 = 75,983.58 : x
  2. Step 2: Convert to fraction form
    225,754.95/338,667.48 = 75,983.58/x
  3. Step 3: Cross multiply
    225,754.95x = 338,667.48 × 75,983.58
  4. Step 4: Simplify right side
    225,754.95x = 25,733,167,559.98
  5. Step 5: Solve for x
    x = 25,733,167,559.98/225,754.95
  6. Step 6: Final answer
    x = 113,987.17

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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.