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Finding the Fourth Proportional to 209,119.50, 313,502.90 and 90,701.64

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Solution

The fourth proportional to 209,119.50, 313,502.90 and 90,701.64 is: 135,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,119.50 : 313,502.90 = 90,701.64 : x
  2. Step 2: Convert to fraction form
    209,119.50/313,502.90 = 90,701.64/x
  3. Step 3: Cross multiply
    209,119.50x = 313,502.90 × 90,701.64
  4. Step 4: Simplify right side
    209,119.50x = 28,435,226,721.25
  5. Step 5: Solve for x
    x = 28,435,226,721.25/209,119.50
  6. Step 6: Final answer
    x = 135,975.97

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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.