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Finding the Fourth Proportional to 295,164, 442,789.20 and 95,418

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Solution

The fourth proportional to 295,164, 442,789.20 and 95,418 is: 143,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,164 : 442,789.20 = 95,418 : x
  2. Step 2: Convert to fraction form
    295,164/442,789.20 = 95,418/x
  3. Step 3: Cross multiply
    295,164x = 442,789.20 × 95,418
  4. Step 4: Simplify right side
    295,164x = 42,250,059,885.60
  5. Step 5: Solve for x
    x = 42,250,059,885.60/295,164
  6. Step 6: Final answer
    x = 143,140.97

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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.