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Finding the Fourth Proportional to 140,067.39, 193,309.13 and 77,984.13

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Solution

The fourth proportional to 140,067.39, 193,309.13 and 77,984.13 is: 107,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,067.39 : 193,309.13 = 77,984.13 : x
  2. Step 2: Convert to fraction form
    140,067.39/193,309.13 = 77,984.13/x
  3. Step 3: Cross multiply
    140,067.39x = 193,309.13 × 77,984.13
  4. Step 4: Simplify right side
    140,067.39x = 15,075,044,324.11
  5. Step 5: Solve for x
    x = 15,075,044,324.11/140,067.39
  6. Step 6: Final answer
    x = 107,627.08

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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.