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Finding the Fourth Proportional to 209,456.72, 314,214.24 and 67,306.24

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Solution

The fourth proportional to 209,456.72, 314,214.24 and 67,306.24 is: 100,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,456.72 : 314,214.24 = 67,306.24 : x
  2. Step 2: Convert to fraction form
    209,456.72/314,214.24 = 67,306.24/x
  3. Step 3: Cross multiply
    209,456.72x = 314,214.24 × 67,306.24
  4. Step 4: Simplify right side
    209,456.72x = 21,148,579,048.86
  5. Step 5: Solve for x
    x = 21,148,579,048.86/209,456.72
  6. Step 6: Final answer
    x = 100,968.73

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