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Finding the Fourth Proportional to 140,797.98, 194,296.32 and 77,136.84

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Solution

The fourth proportional to 140,797.98, 194,296.32 and 77,136.84 is: 106,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,797.98 : 194,296.32 = 77,136.84 : x
  2. Step 2: Convert to fraction form
    140,797.98/194,296.32 = 77,136.84/x
  3. Step 3: Cross multiply
    140,797.98x = 194,296.32 × 77,136.84
  4. Step 4: Simplify right side
    140,797.98x = 14,987,404,148.43
  5. Step 5: Solve for x
    x = 14,987,404,148.43/140,797.98
  6. Step 6: Final answer
    x = 106,446.16

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1.5x scale

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.