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Finding the Fourth Proportional to 209,990.20, 314,948.85 and 76,801.90

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Solution

The fourth proportional to 209,990.20, 314,948.85 and 76,801.90 is: 115,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,990.20 : 314,948.85 = 76,801.90 : x
  2. Step 2: Convert to fraction form
    209,990.20/314,948.85 = 76,801.90/x
  3. Step 3: Cross multiply
    209,990.20x = 314,948.85 × 76,801.90
  4. Step 4: Simplify right side
    209,990.20x = 24,188,670,082.82
  5. Step 5: Solve for x
    x = 24,188,670,082.82/209,990.20
  6. Step 6: Final answer
    x = 115,189.52

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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.