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Finding the Fourth Proportional to 267,916, 369,724.08 and 148,684

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Solution

The fourth proportional to 267,916, 369,724.08 and 148,684 is: 205,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,916 : 369,724.08 = 148,684 : x
  2. Step 2: Convert to fraction form
    267,916/369,724.08 = 148,684/x
  3. Step 3: Cross multiply
    267,916x = 369,724.08 × 148,684
  4. Step 4: Simplify right side
    267,916x = 54,972,055,110.72
  5. Step 5: Solve for x
    x = 54,972,055,110.72/267,916
  6. Step 6: Final answer
    x = 205,183.92

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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.