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Finding the Fourth Proportional to 200,046.33, 276,055.11 and 114,023.97

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Solution

The fourth proportional to 200,046.33, 276,055.11 and 114,023.97 is: 157,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,046.33 : 276,055.11 = 114,023.97 : x
  2. Step 2: Convert to fraction form
    200,046.33/276,055.11 = 114,023.97/x
  3. Step 3: Cross multiply
    200,046.33x = 276,055.11 × 114,023.97
  4. Step 4: Simplify right side
    200,046.33x = 31,476,899,580.99
  5. Step 5: Solve for x
    x = 31,476,899,580.99/200,046.33
  6. Step 6: Final answer
    x = 157,348.05

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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.