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Finding the Fourth Proportional to 193,191.04, 289,761.92 and 74,781.36

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Solution

The fourth proportional to 193,191.04, 289,761.92 and 74,781.36 is: 112,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,191.04 : 289,761.92 = 74,781.36 : x
  2. Step 2: Convert to fraction form
    193,191.04/289,761.92 = 74,781.36/x
  3. Step 3: Cross multiply
    193,191.04x = 289,761.92 × 74,781.36
  4. Step 4: Simplify right side
    193,191.04x = 21,668,790,453.81
  5. Step 5: Solve for x
    x = 21,668,790,453.81/193,191.04
  6. Step 6: Final answer
    x = 112,162.50

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Why These Related Problems?

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