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Finding the Fourth Proportional to 209,199.69, 313,623.19 and 90,781.84

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Solution

The fourth proportional to 209,199.69, 313,623.19 and 90,781.84 is: 136,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,199.69 : 313,623.19 = 90,781.84 : x
  2. Step 2: Convert to fraction form
    209,199.69/313,623.19 = 90,781.84/x
  3. Step 3: Cross multiply
    209,199.69x = 313,623.19 × 90,781.84
  4. Step 4: Simplify right side
    209,199.69x = 28,471,290,254.87
  5. Step 5: Solve for x
    x = 28,471,290,254.87/209,199.69
  6. Step 6: Final answer
    x = 136,096.24

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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.