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Finding the Fourth Proportional to 274,080.76, 410,934.05 and 146,016.19

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Solution

The fourth proportional to 274,080.76, 410,934.05 and 146,016.19 is: 218,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,080.76 : 410,934.05 = 146,016.19 : x
  2. Step 2: Convert to fraction form
    274,080.76/410,934.05 = 146,016.19/x
  3. Step 3: Cross multiply
    274,080.76x = 410,934.05 × 146,016.19
  4. Step 4: Simplify right side
    274,080.76x = 60,003,026,527.84
  5. Step 5: Solve for x
    x = 60,003,026,527.84/274,080.76
  6. Step 6: Final answer
    x = 218,924.62

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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.