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Finding the Fourth Proportional to 140,702.42, 194,174.22 and 77,040.65

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Solution

The fourth proportional to 140,702.42, 194,174.22 and 77,040.65 is: 106,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,702.42 : 194,174.22 = 77,040.65 : x
  2. Step 2: Convert to fraction form
    140,702.42/194,174.22 = 77,040.65/x
  3. Step 3: Cross multiply
    140,702.42x = 194,174.22 × 77,040.65
  4. Step 4: Simplify right side
    140,702.42x = 14,959,308,122.04
  5. Step 5: Solve for x
    x = 14,959,308,122.04/140,702.42
  6. Step 6: Final answer
    x = 106,318.77

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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.