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Finding the Fourth Proportional to 537,846.20, 806,769.30 and 143,862.20

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Solution

The fourth proportional to 537,846.20, 806,769.30 and 143,862.20 is: 215,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,846.20 : 806,769.30 = 143,862.20 : x
  2. Step 2: Convert to fraction form
    537,846.20/806,769.30 = 143,862.20/x
  3. Step 3: Cross multiply
    537,846.20x = 806,769.30 × 143,862.20
  4. Step 4: Simplify right side
    537,846.20x = 116,063,606,390.46
  5. Step 5: Solve for x
    x = 116,063,606,390.46/537,846.20
  6. Step 6: Final answer
    x = 215,793.30

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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.