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Finding the Fourth Proportional to 225,948.40, 338,825.40 and 113,585.20

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Solution

The fourth proportional to 225,948.40, 338,825.40 and 113,585.20 is: 170,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,948.40 : 338,825.40 = 113,585.20 : x
  2. Step 2: Convert to fraction form
    225,948.40/338,825.40 = 113,585.20/x
  3. Step 3: Cross multiply
    225,948.40x = 338,825.40 × 113,585.20
  4. Step 4: Simplify right side
    225,948.40x = 38,485,550,824.08
  5. Step 5: Solve for x
    x = 38,485,550,824.08/225,948.40
  6. Step 6: Final answer
    x = 170,328.94

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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.