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Finding the Fourth Proportional to 133,419.92, 200,129.84 and 50,294.48

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Solution

The fourth proportional to 133,419.92, 200,129.84 and 50,294.48 is: 75,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,419.92 : 200,129.84 = 50,294.48 : x
  2. Step 2: Convert to fraction form
    133,419.92/200,129.84 = 50,294.48/x
  3. Step 3: Cross multiply
    133,419.92x = 200,129.84 × 50,294.48
  4. Step 4: Simplify right side
    133,419.92x = 10,065,426,235.28
  5. Step 5: Solve for x
    x = 10,065,426,235.28/133,419.92
  6. Step 6: Final answer
    x = 75,441.70

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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.