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Finding the Fourth Proportional to 117,142.11, 161,535.29 and 100,202.42

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Solution

The fourth proportional to 117,142.11, 161,535.29 and 100,202.42 is: 138,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,142.11 : 161,535.29 = 100,202.42 : x
  2. Step 2: Convert to fraction form
    117,142.11/161,535.29 = 100,202.42/x
  3. Step 3: Cross multiply
    117,142.11x = 161,535.29 × 100,202.42
  4. Step 4: Simplify right side
    117,142.11x = 16,186,226,876.23
  5. Step 5: Solve for x
    x = 16,186,226,876.23/117,142.11
  6. Step 6: Final answer
    x = 138,175.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.