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Finding the Fourth Proportional to 237,306, 327,479.76 and 135,348.12

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Solution

The fourth proportional to 237,306, 327,479.76 and 135,348.12 is: 186,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,306 : 327,479.76 = 135,348.12 : x
  2. Step 2: Convert to fraction form
    237,306/327,479.76 = 135,348.12/x
  3. Step 3: Cross multiply
    237,306x = 327,479.76 × 135,348.12
  4. Step 4: Simplify right side
    237,306x = 44,323,769,854.05
  5. Step 5: Solve for x
    x = 44,323,769,854.05/237,306
  6. Step 6: Final answer
    x = 186,778.97

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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.