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Finding the Fourth Proportional to 267,082.54, 368,578.26 and 146,221.80

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Solution

The fourth proportional to 267,082.54, 368,578.26 and 146,221.80 is: 201,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,082.54 : 368,578.26 = 146,221.80 : x
  2. Step 2: Convert to fraction form
    267,082.54/368,578.26 = 146,221.80/x
  3. Step 3: Cross multiply
    267,082.54x = 368,578.26 × 146,221.80
  4. Step 4: Simplify right side
    267,082.54x = 53,894,176,618.07
  5. Step 5: Solve for x
    x = 53,894,176,618.07/267,082.54
  6. Step 6: Final answer
    x = 201,788.47

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1.5x scale

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.