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Finding the Fourth Proportional to 224,064.30, 335,124.45 and 200,541.90

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Solution

The fourth proportional to 224,064.30, 335,124.45 and 200,541.90 is: 299,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,064.30 : 335,124.45 = 200,541.90 : x
  2. Step 2: Convert to fraction form
    224,064.30/335,124.45 = 200,541.90/x
  3. Step 3: Cross multiply
    224,064.30x = 335,124.45 × 200,541.90
  4. Step 4: Simplify right side
    224,064.30x = 67,206,493,939.46
  5. Step 5: Solve for x
    x = 67,206,493,939.46/224,064.30
  6. Step 6: Final answer
    x = 299,942.89

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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.