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Finding the Fourth Proportional to 295,732.38, 408,119.14 and 164,913.06

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Solution

The fourth proportional to 295,732.38, 408,119.14 and 164,913.06 is: 227,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,732.38 : 408,119.14 = 164,913.06 : x
  2. Step 2: Convert to fraction form
    295,732.38/408,119.14 = 164,913.06/x
  3. Step 3: Cross multiply
    295,732.38x = 408,119.14 × 164,913.06
  4. Step 4: Simplify right side
    295,732.38x = 67,304,176,221.97
  5. Step 5: Solve for x
    x = 67,304,176,221.97/295,732.38
  6. Step 6: Final answer
    x = 227,584.74

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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.