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Finding the Fourth Proportional to 141,203.25, 194,860.49 and 77,542.11

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Solution

The fourth proportional to 141,203.25, 194,860.49 and 77,542.11 is: 107,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,203.25 : 194,860.49 = 77,542.11 : x
  2. Step 2: Convert to fraction form
    141,203.25/194,860.49 = 77,542.11/x
  3. Step 3: Cross multiply
    141,203.25x = 194,860.49 × 77,542.11
  4. Step 4: Simplify right side
    141,203.25x = 15,109,893,162.52
  5. Step 5: Solve for x
    x = 15,109,893,162.52/141,203.25
  6. Step 6: Final answer
    x = 107,008.11

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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.