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Finding the Fourth Proportional to 206,865.07, 310,291.41 and 57,114.50

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Solution

The fourth proportional to 206,865.07, 310,291.41 and 57,114.50 is: 85,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,865.07 : 310,291.41 = 57,114.50 : x
  2. Step 2: Convert to fraction form
    206,865.07/310,291.41 = 57,114.50/x
  3. Step 3: Cross multiply
    206,865.07x = 310,291.41 × 57,114.50
  4. Step 4: Simplify right side
    206,865.07x = 17,722,138,450.87
  5. Step 5: Solve for x
    x = 17,722,138,450.87/206,865.07
  6. Step 6: Final answer
    x = 85,670.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.