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Finding the Fourth Proportional to 116,674, 175,036.92 and 42,802

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Solution

The fourth proportional to 116,674, 175,036.92 and 42,802 is: 64,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,674 : 175,036.92 = 42,802 : x
  2. Step 2: Convert to fraction form
    116,674/175,036.92 = 42,802/x
  3. Step 3: Cross multiply
    116,674x = 175,036.92 × 42,802
  4. Step 4: Simplify right side
    116,674x = 7,491,930,249.84
  5. Step 5: Solve for x
    x = 7,491,930,249.84/116,674
  6. Step 6: Final answer
    x = 64,212.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.