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Finding the Fourth Proportional to 201,296.13, 277,788.66 and 116,418.66

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Solution

The fourth proportional to 201,296.13, 277,788.66 and 116,418.66 is: 160,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,296.13 : 277,788.66 = 116,418.66 : x
  2. Step 2: Convert to fraction form
    201,296.13/277,788.66 = 116,418.66/x
  3. Step 3: Cross multiply
    201,296.13x = 277,788.66 × 116,418.66
  4. Step 4: Simplify right side
    201,296.13x = 32,339,781,589.36
  5. Step 5: Solve for x
    x = 32,339,781,589.36/201,296.13
  6. Step 6: Final answer
    x = 160,657.75

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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.