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Finding the Fourth Proportional to 206,651.54, 310,009.72 and 88,323.50

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Solution

The fourth proportional to 206,651.54, 310,009.72 and 88,323.50 is: 132,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,651.54 : 310,009.72 = 88,323.50 : x
  2. Step 2: Convert to fraction form
    206,651.54/310,009.72 = 88,323.50/x
  3. Step 3: Cross multiply
    206,651.54x = 310,009.72 × 88,323.50
  4. Step 4: Simplify right side
    206,651.54x = 27,381,143,504.42
  5. Step 5: Solve for x
    x = 27,381,143,504.42/206,651.54
  6. Step 6: Final answer
    x = 132,499.10

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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.