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Finding the Fourth Proportional to 200,465.64, 300,733.02 and 67,358.70

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Solution

The fourth proportional to 200,465.64, 300,733.02 and 67,358.70 is: 101,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,465.64 : 300,733.02 = 67,358.70 : x
  2. Step 2: Convert to fraction form
    200,465.64/300,733.02 = 67,358.70/x
  3. Step 3: Cross multiply
    200,465.64x = 300,733.02 × 67,358.70
  4. Step 4: Simplify right side
    200,465.64x = 20,256,985,274.27
  5. Step 5: Solve for x
    x = 20,256,985,274.27/200,465.64
  6. Step 6: Final answer
    x = 101,049.66

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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.