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Finding the Fourth Proportional to 202,895.69, 280,017 and 116,857.62

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Solution

The fourth proportional to 202,895.69, 280,017 and 116,857.62 is: 161,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,895.69 : 280,017 = 116,857.62 : x
  2. Step 2: Convert to fraction form
    202,895.69/280,017 = 116,857.62/x
  3. Step 3: Cross multiply
    202,895.69x = 280,017 × 116,857.62
  4. Step 4: Simplify right side
    202,895.69x = 32,722,120,179.54
  5. Step 5: Solve for x
    x = 32,722,120,179.54/202,895.69
  6. Step 6: Final answer
    x = 161,275.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.