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Finding the Fourth Proportional to 209,404.74, 314,102.21 and 67,249.74

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Solution

The fourth proportional to 209,404.74, 314,102.21 and 67,249.74 is: 100,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,404.74 : 314,102.21 = 67,249.74 : x
  2. Step 2: Convert to fraction form
    209,404.74/314,102.21 = 67,249.74/x
  3. Step 3: Cross multiply
    209,404.74x = 314,102.21 × 67,249.74
  4. Step 4: Simplify right side
    209,404.74x = 21,123,291,955.93
  5. Step 5: Solve for x
    x = 21,123,291,955.93/209,404.74
  6. Step 6: Final answer
    x = 100,873.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.