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Finding the Fourth Proportional to 100,613.66, 138,776.56 and 85,401.38

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Solution

The fourth proportional to 100,613.66, 138,776.56 and 85,401.38 is: 117,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613.66 : 138,776.56 = 85,401.38 : x
  2. Step 2: Convert to fraction form
    100,613.66/138,776.56 = 85,401.38/x
  3. Step 3: Cross multiply
    100,613.66x = 138,776.56 × 85,401.38
  4. Step 4: Simplify right side
    100,613.66x = 11,851,709,869.09
  5. Step 5: Solve for x
    x = 11,851,709,869.09/100,613.66
  6. Step 6: Final answer
    x = 117,794.25

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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.