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Finding the Fourth Proportional to 133,614.70, 200,422.05 and 71,406.70

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Solution

The fourth proportional to 133,614.70, 200,422.05 and 71,406.70 is: 107,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,614.70 : 200,422.05 = 71,406.70 : x
  2. Step 2: Convert to fraction form
    133,614.70/200,422.05 = 71,406.70/x
  3. Step 3: Cross multiply
    133,614.70x = 200,422.05 × 71,406.70
  4. Step 4: Simplify right side
    133,614.70x = 14,311,477,197.74
  5. Step 5: Solve for x
    x = 14,311,477,197.74/133,614.70
  6. Step 6: Final answer
    x = 107,110.05

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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.