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Finding the Fourth Proportional to 274,551.93, 412,094.21 and 132,497.18

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Solution

The fourth proportional to 274,551.93, 412,094.21 and 132,497.18 is: 198,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,551.93 : 412,094.21 = 132,497.18 : x
  2. Step 2: Convert to fraction form
    274,551.93/412,094.21 = 132,497.18/x
  3. Step 3: Cross multiply
    274,551.93x = 412,094.21 × 132,497.18
  4. Step 4: Simplify right side
    274,551.93x = 54,601,319,541.72
  5. Step 5: Solve for x
    x = 54,601,319,541.72/274,551.93
  6. Step 6: Final answer
    x = 198,874.29

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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.