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Finding the Fourth Proportional to 225,858.96, 311,683.20 and 123,882.30

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Solution

The fourth proportional to 225,858.96, 311,683.20 and 123,882.30 is: 170,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,858.96 : 311,683.20 = 123,882.30 : x
  2. Step 2: Convert to fraction form
    225,858.96/311,683.20 = 123,882.30/x
  3. Step 3: Cross multiply
    225,858.96x = 311,683.20 × 123,882.30
  4. Step 4: Simplify right side
    225,858.96x = 38,612,031,687.36
  5. Step 5: Solve for x
    x = 38,612,031,687.36/225,858.96
  6. Step 6: Final answer
    x = 170,956.39

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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.