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Finding the Fourth Proportional to 209,816.20, 314,817.32 and 109,952.65

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Solution

The fourth proportional to 209,816.20, 314,817.32 and 109,952.65 is: 164,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,816.20 : 314,817.32 = 109,952.65 : x
  2. Step 2: Convert to fraction form
    209,816.20/314,817.32 = 109,952.65/x
  3. Step 3: Cross multiply
    209,816.20x = 314,817.32 × 109,952.65
  4. Step 4: Simplify right side
    209,816.20x = 34,614,998,599.90
  5. Step 5: Solve for x
    x = 34,614,998,599.90/209,816.20
  6. Step 6: Final answer
    x = 164,977.72

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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.