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Finding the Fourth Proportional to 205,107.27, 307,693.44 and 86,779.50

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Solution

The fourth proportional to 205,107.27, 307,693.44 and 86,779.50 is: 130,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,107.27 : 307,693.44 = 86,779.50 : x
  2. Step 2: Convert to fraction form
    205,107.27/307,693.44 = 86,779.50/x
  3. Step 3: Cross multiply
    205,107.27x = 307,693.44 × 86,779.50
  4. Step 4: Simplify right side
    205,107.27x = 26,701,482,876.48
  5. Step 5: Solve for x
    x = 26,701,482,876.48/205,107.27
  6. Step 6: Final answer
    x = 130,183.02

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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.