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Finding the Fourth Proportional to 207,093.16, 284,034.89 and 204,639.40

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Solution

The fourth proportional to 207,093.16, 284,034.89 and 204,639.40 is: 280,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,093.16 : 284,034.89 = 204,639.40 : x
  2. Step 2: Convert to fraction form
    207,093.16/284,034.89 = 204,639.40/x
  3. Step 3: Cross multiply
    207,093.16x = 284,034.89 × 204,639.40
  4. Step 4: Simplify right side
    207,093.16x = 58,124,729,468.67
  5. Step 5: Solve for x
    x = 58,124,729,468.67/207,093.16
  6. Step 6: Final answer
    x = 280,669.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.