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Finding the Fourth Proportional to 225,220.16, 310,803.80 and 123,245.64

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Solution

The fourth proportional to 225,220.16, 310,803.80 and 123,245.64 is: 170,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,220.16 : 310,803.80 = 123,245.64 : x
  2. Step 2: Convert to fraction form
    225,220.16/310,803.80 = 123,245.64/x
  3. Step 3: Cross multiply
    225,220.16x = 310,803.80 × 123,245.64
  4. Step 4: Simplify right side
    225,220.16x = 38,305,213,245.43
  5. Step 5: Solve for x
    x = 38,305,213,245.43/225,220.16
  6. Step 6: Final answer
    x = 170,078.97

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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.