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Finding the Fourth Proportional to 206,589.11, 310,014.72 and 88,261.34

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Solution

The fourth proportional to 206,589.11, 310,014.72 and 88,261.34 is: 132,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,589.11 : 310,014.72 = 88,261.34 : x
  2. Step 2: Convert to fraction form
    206,589.11/310,014.72 = 88,261.34/x
  3. Step 3: Cross multiply
    206,589.11x = 310,014.72 × 88,261.34
  4. Step 4: Simplify right side
    206,589.11x = 27,362,313,056.85
  5. Step 5: Solve for x
    x = 27,362,313,056.85/206,589.11
  6. Step 6: Final answer
    x = 132,448.00

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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.