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Finding the Fourth Proportional to 267,916.32, 369,728.40 and 148,684.32

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Solution

The fourth proportional to 267,916.32, 369,728.40 and 148,684.32 is: 205,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,916.32 : 369,728.40 = 148,684.32 : x
  2. Step 2: Convert to fraction form
    267,916.32/369,728.40 = 148,684.32/x
  3. Step 3: Cross multiply
    267,916.32x = 369,728.40 × 148,684.32
  4. Step 4: Simplify right side
    267,916.32x = 54,972,815,738.69
  5. Step 5: Solve for x
    x = 54,972,815,738.69/267,916.32
  6. Step 6: Final answer
    x = 205,186.51

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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.