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Finding the Fourth Proportional to 140,322.26, 193,642.29 and 76,658.42

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Solution

The fourth proportional to 140,322.26, 193,642.29 and 76,658.42 is: 105,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,322.26 : 193,642.29 = 76,658.42 : x
  2. Step 2: Convert to fraction form
    140,322.26/193,642.29 = 76,658.42/x
  3. Step 3: Cross multiply
    140,322.26x = 193,642.29 × 76,658.42
  4. Step 4: Simplify right side
    140,322.26x = 14,844,311,996.58
  5. Step 5: Solve for x
    x = 14,844,311,996.58/140,322.26
  6. Step 6: Final answer
    x = 105,787.29

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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.