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Finding the Fourth Proportional to 103,797.14, 155,126.97 and 75,776.21

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Solution

The fourth proportional to 103,797.14, 155,126.97 and 75,776.21 is: 113,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,797.14 : 155,126.97 = 75,776.21 : x
  2. Step 2: Convert to fraction form
    103,797.14/155,126.97 = 75,776.21/x
  3. Step 3: Cross multiply
    103,797.14x = 155,126.97 × 75,776.21
  4. Step 4: Simplify right side
    103,797.14x = 11,754,932,700.87
  5. Step 5: Solve for x
    x = 11,754,932,700.87/103,797.14
  6. Step 6: Final answer
    x = 113,249.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.