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Finding the Fourth Proportional to 202,064.17, 278,843.14 and 111,418.60

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Solution

The fourth proportional to 202,064.17, 278,843.14 and 111,418.60 is: 153,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,064.17 : 278,843.14 = 111,418.60 : x
  2. Step 2: Convert to fraction form
    202,064.17/278,843.14 = 111,418.60/x
  3. Step 3: Cross multiply
    202,064.17x = 278,843.14 × 111,418.60
  4. Step 4: Simplify right side
    202,064.17x = 31,068,312,278.40
  5. Step 5: Solve for x
    x = 31,068,312,278.40/202,064.17
  6. Step 6: Final answer
    x = 153,754.68

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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.