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Finding the Fourth Proportional to 140,702.38, 194,169.36 and 77,040.16

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Solution

The fourth proportional to 140,702.38, 194,169.36 and 77,040.16 is: 106,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,702.38 : 194,169.36 = 77,040.16 : x
  2. Step 2: Convert to fraction form
    140,702.38/194,169.36 = 77,040.16/x
  3. Step 3: Cross multiply
    140,702.38x = 194,169.36 × 77,040.16
  4. Step 4: Simplify right side
    140,702.38x = 14,958,838,561.50
  5. Step 5: Solve for x
    x = 14,958,838,561.50/140,702.38
  6. Step 6: Final answer
    x = 106,315.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.