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Finding the Fourth Proportional to 106,395.36, 159,404.88 and 100,074.24

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Solution

The fourth proportional to 106,395.36, 159,404.88 and 100,074.24 is: 149,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,395.36 : 159,404.88 = 100,074.24 : x
  2. Step 2: Convert to fraction form
    106,395.36/159,404.88 = 100,074.24/x
  3. Step 3: Cross multiply
    106,395.36x = 159,404.88 × 100,074.24
  4. Step 4: Simplify right side
    106,395.36x = 15,952,322,218.29
  5. Step 5: Solve for x
    x = 15,952,322,218.29/106,395.36
  6. Step 6: Final answer
    x = 149,934.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.