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Finding the Fourth Proportional to 209,466.72, 313,954.02 and 96,909.17

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Solution

The fourth proportional to 209,466.72, 313,954.02 and 96,909.17 is: 145,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,466.72 : 313,954.02 = 96,909.17 : x
  2. Step 2: Convert to fraction form
    209,466.72/313,954.02 = 96,909.17/x
  3. Step 3: Cross multiply
    209,466.72x = 313,954.02 × 96,909.17
  4. Step 4: Simplify right side
    209,466.72x = 30,425,021,926.59
  5. Step 5: Solve for x
    x = 30,425,021,926.59/209,466.72
  6. Step 6: Final answer
    x = 145,249.91

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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.