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Finding the Fourth Proportional to 141,142.84, 194,777.94 and 77,481.16

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Solution

The fourth proportional to 141,142.84, 194,777.94 and 77,481.16 is: 106,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,142.84 : 194,777.94 = 77,481.16 : x
  2. Step 2: Convert to fraction form
    141,142.84/194,777.94 = 77,481.16/x
  3. Step 3: Cross multiply
    141,142.84x = 194,777.94 × 77,481.16
  4. Step 4: Simplify right side
    141,142.84x = 15,091,620,733.61
  5. Step 5: Solve for x
    x = 15,091,620,733.61/141,142.84
  6. Step 6: Final answer
    x = 106,924.45

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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.