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Finding the Fourth Proportional to 206,884.46, 310,320.52 and 57,133.90

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Solution

The fourth proportional to 206,884.46, 310,320.52 and 57,133.90 is: 85,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,884.46 : 310,320.52 = 57,133.90 : x
  2. Step 2: Convert to fraction form
    206,884.46/310,320.52 = 57,133.90/x
  3. Step 3: Cross multiply
    206,884.46x = 310,320.52 × 57,133.90
  4. Step 4: Simplify right side
    206,884.46x = 17,729,821,557.63
  5. Step 5: Solve for x
    x = 17,729,821,557.63/206,884.46
  6. Step 6: Final answer
    x = 85,699.15

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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.