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Finding the Fourth Proportional to 209,194.23, 313,614.50 and 90,776.01

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Solution

The fourth proportional to 209,194.23, 313,614.50 and 90,776.01 is: 136,087.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,194.23 : 313,614.50 = 90,776.01 : x
  2. Step 2: Convert to fraction form
    209,194.23/313,614.50 = 90,776.01/x
  3. Step 3: Cross multiply
    209,194.23x = 313,614.50 × 90,776.01
  4. Step 4: Simplify right side
    209,194.23x = 28,468,672,534.27
  5. Step 5: Solve for x
    x = 28,468,672,534.27/209,194.23
  6. Step 6: Final answer
    x = 136,087.27

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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.