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Finding the Fourth Proportional to 225,744.57, 338,667.89 and 113,478.57

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Solution

The fourth proportional to 225,744.57, 338,667.89 and 113,478.57 is: 170,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,744.57 : 338,667.89 = 113,478.57 : x
  2. Step 2: Convert to fraction form
    225,744.57/338,667.89 = 113,478.57/x
  3. Step 3: Cross multiply
    225,744.57x = 338,667.89 × 113,478.57
  4. Step 4: Simplify right side
    225,744.57x = 38,431,547,294.72
  5. Step 5: Solve for x
    x = 38,431,547,294.72/225,744.57
  6. Step 6: Final answer
    x = 170,243.51

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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.