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Finding the Fourth Proportional to 225,938.40, 338,810.40 and 113,575.20

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Solution

The fourth proportional to 225,938.40, 338,810.40 and 113,575.20 is: 170,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,938.40 : 338,810.40 = 113,575.20 : x
  2. Step 2: Convert to fraction form
    225,938.40/338,810.40 = 113,575.20/x
  3. Step 3: Cross multiply
    225,938.40x = 338,810.40 × 113,575.20
  4. Step 4: Simplify right side
    225,938.40x = 38,480,458,942.08
  5. Step 5: Solve for x
    x = 38,480,458,942.08/225,938.40
  6. Step 6: Final answer
    x = 170,313.94

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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.