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Finding the Fourth Proportional to 138,218.68, 190,729.38 and 77,794.12

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Solution

The fourth proportional to 138,218.68, 190,729.38 and 77,794.12 is: 107,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,218.68 : 190,729.38 = 77,794.12 : x
  2. Step 2: Convert to fraction form
    138,218.68/190,729.38 = 77,794.12/x
  3. Step 3: Cross multiply
    138,218.68x = 190,729.38 × 77,794.12
  4. Step 4: Simplify right side
    138,218.68x = 14,837,624,275.25
  5. Step 5: Solve for x
    x = 14,837,624,275.25/138,218.68
  6. Step 6: Final answer
    x = 107,348.91

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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.