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Finding the Fourth Proportional to 133,666.08, 200,499.39 and 54,766.14

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Solution

The fourth proportional to 133,666.08, 200,499.39 and 54,766.14 is: 82,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,666.08 : 200,499.39 = 54,766.14 : x
  2. Step 2: Convert to fraction form
    133,666.08/200,499.39 = 54,766.14/x
  3. Step 3: Cross multiply
    133,666.08x = 200,499.39 × 54,766.14
  4. Step 4: Simplify right side
    133,666.08x = 10,980,577,662.65
  5. Step 5: Solve for x
    x = 10,980,577,662.65/133,666.08
  6. Step 6: Final answer
    x = 82,149.32

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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.