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Finding the Fourth Proportional to 141,187.82, 194,842.34 and 77,525.87

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Solution

The fourth proportional to 141,187.82, 194,842.34 and 77,525.87 is: 106,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,187.82 : 194,842.34 = 77,525.87 : x
  2. Step 2: Convert to fraction form
    141,187.82/194,842.34 = 77,525.87/x
  3. Step 3: Cross multiply
    141,187.82x = 194,842.34 × 77,525.87
  4. Step 4: Simplify right side
    141,187.82x = 15,105,320,559.49
  5. Step 5: Solve for x
    x = 15,105,320,559.49/141,187.82
  6. Step 6: Final answer
    x = 106,987.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.