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Finding the Fourth Proportional to 205,710.10, 308,504.67 and 87,380.50

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Solution

The fourth proportional to 205,710.10, 308,504.67 and 87,380.50 is: 131,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,710.10 : 308,504.67 = 87,380.50 : x
  2. Step 2: Convert to fraction form
    205,710.10/308,504.67 = 87,380.50/x
  3. Step 3: Cross multiply
    205,710.10x = 308,504.67 × 87,380.50
  4. Step 4: Simplify right side
    205,710.10x = 26,957,292,316.94
  5. Step 5: Solve for x
    x = 26,957,292,316.94/205,710.10
  6. Step 6: Final answer
    x = 131,045.06

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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.