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Finding the Fourth Proportional to 274,083.14, 410,937.61 and 146,018.57

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Solution

The fourth proportional to 274,083.14, 410,937.61 and 146,018.57 is: 218,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,083.14 : 410,937.61 = 146,018.57 : x
  2. Step 2: Convert to fraction form
    274,083.14/410,937.61 = 146,018.57/x
  3. Step 3: Cross multiply
    274,083.14x = 410,937.61 × 146,018.57
  4. Step 4: Simplify right side
    274,083.14x = 60,004,522,536.46
  5. Step 5: Solve for x
    x = 60,004,522,536.46/274,083.14
  6. Step 6: Final answer
    x = 218,928.18

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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.