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Finding the Fourth Proportional to 200,475.74, 276,656.48 and 109,834.92

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Solution

The fourth proportional to 200,475.74, 276,656.48 and 109,834.92 is: 151,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,475.74 : 276,656.48 = 109,834.92 : x
  2. Step 2: Convert to fraction form
    200,475.74/276,656.48 = 109,834.92/x
  3. Step 3: Cross multiply
    200,475.74x = 276,656.48 × 109,834.92
  4. Step 4: Simplify right side
    200,475.74x = 30,386,542,348.28
  5. Step 5: Solve for x
    x = 30,386,542,348.28/200,475.74
  6. Step 6: Final answer
    x = 151,572.17

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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.