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Finding the Fourth Proportional to 206,859.68, 310,283.34 and 57,109.11

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Solution

The fourth proportional to 206,859.68, 310,283.34 and 57,109.11 is: 85,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,859.68 : 310,283.34 = 57,109.11 : x
  2. Step 2: Convert to fraction form
    206,859.68/310,283.34 = 57,109.11/x
  3. Step 3: Cross multiply
    206,859.68x = 310,283.34 × 57,109.11
  4. Step 4: Simplify right side
    206,859.68x = 17,720,005,395.23
  5. Step 5: Solve for x
    x = 17,720,005,395.23/206,859.68
  6. Step 6: Final answer
    x = 85,661.96

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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.