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Finding the Fourth Proportional to 274,085.14, 410,940.62 and 146,020.58

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Solution

The fourth proportional to 274,085.14, 410,940.62 and 146,020.58 is: 218,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,085.14 : 410,940.62 = 146,020.58 : x
  2. Step 2: Convert to fraction form
    274,085.14/410,940.62 = 146,020.58/x
  3. Step 3: Cross multiply
    274,085.14x = 410,940.62 × 146,020.58
  4. Step 4: Simplify right side
    274,085.14x = 60,005,787,677.96
  5. Step 5: Solve for x
    x = 60,005,787,677.96/274,085.14
  6. Step 6: Final answer
    x = 218,931.20

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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.