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Finding the Fourth Proportional to 225,658.62, 311,412.74 and 123,682.05

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Solution

The fourth proportional to 225,658.62, 311,412.74 and 123,682.05 is: 170,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,658.62 : 311,412.74 = 123,682.05 : x
  2. Step 2: Convert to fraction form
    225,658.62/311,412.74 = 123,682.05/x
  3. Step 3: Cross multiply
    225,658.62x = 311,412.74 × 123,682.05
  4. Step 4: Simplify right side
    225,658.62x = 38,516,165,460.91
  5. Step 5: Solve for x
    x = 38,516,165,460.91/225,658.62
  6. Step 6: Final answer
    x = 170,683.33

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