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Finding the Fourth Proportional to 146,151.62, 201,679.71 and 82,480.76

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Solution

The fourth proportional to 146,151.62, 201,679.71 and 82,480.76 is: 113,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,151.62 : 201,679.71 = 82,480.76 : x
  2. Step 2: Convert to fraction form
    146,151.62/201,679.71 = 82,480.76/x
  3. Step 3: Cross multiply
    146,151.62x = 201,679.71 × 82,480.76
  4. Step 4: Simplify right side
    146,151.62x = 16,634,695,757.38
  5. Step 5: Solve for x
    x = 16,634,695,757.38/146,151.62
  6. Step 6: Final answer
    x = 113,818.07

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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.