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Finding the Fourth Proportional to 140,829, 194,344.02 and 77,169.22

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Solution

The fourth proportional to 140,829, 194,344.02 and 77,169.22 is: 106,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,829 : 194,344.02 = 77,169.22 : x
  2. Step 2: Convert to fraction form
    140,829/194,344.02 = 77,169.22/x
  3. Step 3: Cross multiply
    140,829x = 194,344.02 × 77,169.22
  4. Step 4: Simplify right side
    140,829x = 14,997,376,435.06
  5. Step 5: Solve for x
    x = 14,997,376,435.06/140,829
  6. Step 6: Final answer
    x = 106,493.52

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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.