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Finding the Fourth Proportional to 225,734.40, 338,362.86 and 83,488.26

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Solution

The fourth proportional to 225,734.40, 338,362.86 and 83,488.26 is: 125,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,734.40 : 338,362.86 = 83,488.26 : x
  2. Step 2: Convert to fraction form
    225,734.40/338,362.86 = 83,488.26/x
  3. Step 3: Cross multiply
    225,734.40x = 338,362.86 × 83,488.26
  4. Step 4: Simplify right side
    225,734.40x = 28,249,326,430.02
  5. Step 5: Solve for x
    x = 28,249,326,430.02/225,734.40
  6. Step 6: Final answer
    x = 125,144.09

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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.