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Finding the Fourth Proportional to 225,523.44, 311,218.20 and 130,034.16

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Solution

The fourth proportional to 225,523.44, 311,218.20 and 130,034.16 is: 179,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,523.44 : 311,218.20 = 130,034.16 : x
  2. Step 2: Convert to fraction form
    225,523.44/311,218.20 = 130,034.16/x
  3. Step 3: Cross multiply
    225,523.44x = 311,218.20 × 130,034.16
  4. Step 4: Simplify right side
    225,523.44x = 40,468,997,213.71
  5. Step 5: Solve for x
    x = 40,468,997,213.71/225,523.44
  6. Step 6: Final answer
    x = 179,444.75

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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.