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Finding the Fourth Proportional to 226,233, 312,229.08 and 130,740.48

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Solution

The fourth proportional to 226,233, 312,229.08 and 130,740.48 is: 180,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,233 : 312,229.08 = 130,740.48 : x
  2. Step 2: Convert to fraction form
    226,233/312,229.08 = 130,740.48/x
  3. Step 3: Cross multiply
    226,233x = 312,229.08 × 130,740.48
  4. Step 4: Simplify right side
    226,233x = 40,820,979,789.16
  5. Step 5: Solve for x
    x = 40,820,979,789.16/226,233
  6. Step 6: Final answer
    x = 180,437.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.