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Finding the Fourth Proportional to 133,715.82, 200,577.36 and 38,942.16

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Solution

The fourth proportional to 133,715.82, 200,577.36 and 38,942.16 is: 58,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,715.82 : 200,577.36 = 38,942.16 : x
  2. Step 2: Convert to fraction form
    133,715.82/200,577.36 = 38,942.16/x
  3. Step 3: Cross multiply
    133,715.82x = 200,577.36 × 38,942.16
  4. Step 4: Simplify right side
    133,715.82x = 7,810,915,645.50
  5. Step 5: Solve for x
    x = 7,810,915,645.50/133,715.82
  6. Step 6: Final answer
    x = 58,414.30

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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.