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Finding the Fourth Proportional to 133,798.20, 200,405.70 and 110,470.20

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Solution

The fourth proportional to 133,798.20, 200,405.70 and 110,470.20 is: 165,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,798.20 : 200,405.70 = 110,470.20 : x
  2. Step 2: Convert to fraction form
    133,798.20/200,405.70 = 110,470.20/x
  3. Step 3: Cross multiply
    133,798.20x = 200,405.70 × 110,470.20
  4. Step 4: Simplify right side
    133,798.20x = 22,138,857,760.14
  5. Step 5: Solve for x
    x = 22,138,857,760.14/133,798.20
  6. Step 6: Final answer
    x = 165,464.54

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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.