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Finding the Fourth Proportional to 157,033.49, 216,794.97 and 120,170.43

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Solution

The fourth proportional to 157,033.49, 216,794.97 and 120,170.43 is: 165,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,033.49 : 216,794.97 = 120,170.43 : x
  2. Step 2: Convert to fraction form
    157,033.49/216,794.97 = 120,170.43/x
  3. Step 3: Cross multiply
    157,033.49x = 216,794.97 × 120,170.43
  4. Step 4: Simplify right side
    157,033.49x = 26,052,344,766.74
  5. Step 5: Solve for x
    x = 26,052,344,766.74/157,033.49
  6. Step 6: Final answer
    x = 165,903.12

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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.