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Finding the Fourth Proportional to 200,434.97, 300,677.20 and 65,495.86

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Solution

The fourth proportional to 200,434.97, 300,677.20 and 65,495.86 is: 98,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,434.97 : 300,677.20 = 65,495.86 : x
  2. Step 2: Convert to fraction form
    200,434.97/300,677.20 = 65,495.86/x
  3. Step 3: Cross multiply
    200,434.97x = 300,677.20 × 65,495.86
  4. Step 4: Simplify right side
    200,434.97x = 19,693,110,880.96
  5. Step 5: Solve for x
    x = 19,693,110,880.96/200,434.97
  6. Step 6: Final answer
    x = 98,251.87

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1.5x scale

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.