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Finding the Fourth Proportional to 205,268.99, 307,908.14 and 163,178.15

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Solution

The fourth proportional to 205,268.99, 307,908.14 and 163,178.15 is: 244,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,268.99 : 307,908.14 = 163,178.15 : x
  2. Step 2: Convert to fraction form
    205,268.99/307,908.14 = 163,178.15/x
  3. Step 3: Cross multiply
    205,268.99x = 307,908.14 × 163,178.15
  4. Step 4: Simplify right side
    205,268.99x = 50,243,878,299.71
  5. Step 5: Solve for x
    x = 50,243,878,299.71/205,268.99
  6. Step 6: Final answer
    x = 244,770.92

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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.