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Finding the Fourth Proportional to 218,961.27, 302,175.51 and 138,359.38

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Solution

The fourth proportional to 218,961.27, 302,175.51 and 138,359.38 is: 190,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,961.27 : 302,175.51 = 138,359.38 : x
  2. Step 2: Convert to fraction form
    218,961.27/302,175.51 = 138,359.38/x
  3. Step 3: Cross multiply
    218,961.27x = 302,175.51 × 138,359.38
  4. Step 4: Simplify right side
    218,961.27x = 41,808,816,214.78
  5. Step 5: Solve for x
    x = 41,808,816,214.78/218,961.27
  6. Step 6: Final answer
    x = 190,941.61

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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.