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Finding the Fourth Proportional to 117,142.49, 161,535.80 and 100,202.81

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Solution

The fourth proportional to 117,142.49, 161,535.80 and 100,202.81 is: 138,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,142.49 : 161,535.80 = 100,202.81 : x
  2. Step 2: Convert to fraction form
    117,142.49/161,535.80 = 100,202.81/x
  3. Step 3: Cross multiply
    117,142.49x = 161,535.80 × 100,202.81
  4. Step 4: Simplify right side
    117,142.49x = 16,186,339,766.91
  5. Step 5: Solve for x
    x = 16,186,339,766.91/117,142.49
  6. Step 6: Final answer
    x = 138,176.51

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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.