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Finding the Fourth Proportional to 202,894.89, 280,005.57 and 116,866.95

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Solution

The fourth proportional to 202,894.89, 280,005.57 and 116,866.95 is: 161,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,894.89 : 280,005.57 = 116,866.95 : x
  2. Step 2: Convert to fraction form
    202,894.89/280,005.57 = 116,866.95/x
  3. Step 3: Cross multiply
    202,894.89x = 280,005.57 × 116,866.95
  4. Step 4: Simplify right side
    202,894.89x = 32,723,396,948.91
  5. Step 5: Solve for x
    x = 32,723,396,948.91/202,894.89
  6. Step 6: Final answer
    x = 161,282.51

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Why These Related Problems?

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