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Finding the Fourth Proportional to 225,928.52, 338,656.31 and 76,117.04

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Solution

The fourth proportional to 225,928.52, 338,656.31 and 76,117.04 is: 114,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,928.52 : 338,656.31 = 76,117.04 : x
  2. Step 2: Convert to fraction form
    225,928.52/338,656.31 = 76,117.04/x
  3. Step 3: Cross multiply
    225,928.52x = 338,656.31 × 76,117.04
  4. Step 4: Simplify right side
    225,928.52x = 25,777,515,894.52
  5. Step 5: Solve for x
    x = 25,777,515,894.52/225,928.52
  6. Step 6: Final answer
    x = 114,095.89

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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.