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Finding the Fourth Proportional to 202,105.98, 278,894.22 and 116,078.97

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Solution

The fourth proportional to 202,105.98, 278,894.22 and 116,078.97 is: 160,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,105.98 : 278,894.22 = 116,078.97 : x
  2. Step 2: Convert to fraction form
    202,105.98/278,894.22 = 116,078.97/x
  3. Step 3: Cross multiply
    202,105.98x = 278,894.22 × 116,078.97
  4. Step 4: Simplify right side
    202,105.98x = 32,373,754,407.11
  5. Step 5: Solve for x
    x = 32,373,754,407.11/202,105.98
  6. Step 6: Final answer
    x = 160,182.07

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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.