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Finding the Fourth Proportional to 225,725.90, 338,602.62 and 75,953.61

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Solution

The fourth proportional to 225,725.90, 338,602.62 and 75,953.61 is: 113,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,725.90 : 338,602.62 = 75,953.61 : x
  2. Step 2: Convert to fraction form
    225,725.90/338,602.62 = 75,953.61/x
  3. Step 3: Cross multiply
    225,725.90x = 338,602.62 × 75,953.61
  4. Step 4: Simplify right side
    225,725.90x = 25,718,091,344.46
  5. Step 5: Solve for x
    x = 25,718,091,344.46/225,725.90
  6. Step 6: Final answer
    x = 113,935.05

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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.