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Finding the Fourth Proportional to 200,074.64, 299,778.74 and 140,785.74

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Solution

The fourth proportional to 200,074.64, 299,778.74 and 140,785.74 is: 210,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,074.64 : 299,778.74 = 140,785.74 : x
  2. Step 2: Convert to fraction form
    200,074.64/299,778.74 = 140,785.74/x
  3. Step 3: Cross multiply
    200,074.64x = 299,778.74 × 140,785.74
  4. Step 4: Simplify right side
    200,074.64x = 42,204,571,747.17
  5. Step 5: Solve for x
    x = 42,204,571,747.17/200,074.64
  6. Step 6: Final answer
    x = 210,944.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.