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Finding the Fourth Proportional to 133,772.70, 200,659.05 and 54,846.30

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Solution

The fourth proportional to 133,772.70, 200,659.05 and 54,846.30 is: 82,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,772.70 : 200,659.05 = 54,846.30 : x
  2. Step 2: Convert to fraction form
    133,772.70/200,659.05 = 54,846.30/x
  3. Step 3: Cross multiply
    133,772.70x = 200,659.05 × 54,846.30
  4. Step 4: Simplify right side
    133,772.70x = 11,005,406,454.02
  5. Step 5: Solve for x
    x = 11,005,406,454.02/133,772.70
  6. Step 6: Final answer
    x = 82,269.45

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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.