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Finding the Fourth Proportional to 201,696.95, 278,357.90 and 115,663.83

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Solution

The fourth proportional to 201,696.95, 278,357.90 and 115,663.83 is: 159,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,696.95 : 278,357.90 = 115,663.83 : x
  2. Step 2: Convert to fraction form
    201,696.95/278,357.90 = 115,663.83/x
  3. Step 3: Cross multiply
    201,696.95x = 278,357.90 × 115,663.83
  4. Step 4: Simplify right side
    201,696.95x = 32,195,940,246.44
  5. Step 5: Solve for x
    x = 32,195,940,246.44/201,696.95
  6. Step 6: Final answer
    x = 159,625.32

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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.