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Finding the Fourth Proportional to 209,217, 313,648.60 and 90,799.32

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Solution

The fourth proportional to 209,217, 313,648.60 and 90,799.32 is: 136,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,217 : 313,648.60 = 90,799.32 : x
  2. Step 2: Convert to fraction form
    209,217/313,648.60 = 90,799.32/x
  3. Step 3: Cross multiply
    209,217x = 313,648.60 × 90,799.32
  4. Step 4: Simplify right side
    209,217x = 28,479,079,598.95
  5. Step 5: Solve for x
    x = 28,479,079,598.95/209,217
  6. Step 6: Final answer
    x = 136,122.21

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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.