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Finding the Fourth Proportional to 140,701.42, 194,172.84 and 77,039.65

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Solution

The fourth proportional to 140,701.42, 194,172.84 and 77,039.65 is: 106,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,701.42 : 194,172.84 = 77,039.65 : x
  2. Step 2: Convert to fraction form
    140,701.42/194,172.84 = 77,039.65/x
  3. Step 3: Cross multiply
    140,701.42x = 194,172.84 × 77,039.65
  4. Step 4: Simplify right side
    140,701.42x = 14,959,007,633.11
  5. Step 5: Solve for x
    x = 14,959,007,633.11/140,701.42
  6. Step 6: Final answer
    x = 106,317.39

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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.