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Finding the Fourth Proportional to 133,584.93, 200,315.09 and 77,441.09

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Solution

The fourth proportional to 133,584.93, 200,315.09 and 77,441.09 is: 116,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,584.93 : 200,315.09 = 77,441.09 : x
  2. Step 2: Convert to fraction form
    133,584.93/200,315.09 = 77,441.09/x
  3. Step 3: Cross multiply
    133,584.93x = 200,315.09 × 77,441.09
  4. Step 4: Simplify right side
    133,584.93x = 15,512,618,105.08
  5. Step 5: Solve for x
    x = 15,512,618,105.08/133,584.93
  6. Step 6: Final answer
    x = 116,125.51

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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.