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Finding the Fourth Proportional to 216,282.66, 298,470.72 and 120,792.96

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Solution

The fourth proportional to 216,282.66, 298,470.72 and 120,792.96 is: 166,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,282.66 : 298,470.72 = 120,792.96 : x
  2. Step 2: Convert to fraction form
    216,282.66/298,470.72 = 120,792.96/x
  3. Step 3: Cross multiply
    216,282.66x = 298,470.72 × 120,792.96
  4. Step 4: Simplify right side
    216,282.66x = 36,053,161,742.13
  5. Step 5: Solve for x
    x = 36,053,161,742.13/216,282.66
  6. Step 6: Final answer
    x = 166,694.65

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Why These Related Problems?

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