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Finding the Fourth Proportional to 100,072.13, 138,103.85 and 55,360.13

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Solution

The fourth proportional to 100,072.13, 138,103.85 and 55,360.13 is: 76,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,072.13 : 138,103.85 = 55,360.13 : x
  2. Step 2: Convert to fraction form
    100,072.13/138,103.85 = 55,360.13/x
  3. Step 3: Cross multiply
    100,072.13x = 138,103.85 × 55,360.13
  4. Step 4: Simplify right side
    100,072.13x = 7,645,446,537.38
  5. Step 5: Solve for x
    x = 7,645,446,537.38/100,072.13
  6. Step 6: Final answer
    x = 76,399.36

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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.