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Finding the Fourth Proportional to 295,691.94, 408,055.04 and 159,725.90

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Solution

The fourth proportional to 295,691.94, 408,055.04 and 159,725.90 is: 220,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,691.94 : 408,055.04 = 159,725.90 : x
  2. Step 2: Convert to fraction form
    295,691.94/408,055.04 = 159,725.90/x
  3. Step 3: Cross multiply
    295,691.94x = 408,055.04 × 159,725.90
  4. Step 4: Simplify right side
    295,691.94x = 65,176,958,513.54
  5. Step 5: Solve for x
    x = 65,176,958,513.54/295,691.94
  6. Step 6: Final answer
    x = 220,421.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.