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Finding the Fourth Proportional to 209,963.90, 314,853.50 and 76,809.62

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Solution

The fourth proportional to 209,963.90, 314,853.50 and 76,809.62 is: 115,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.90 : 314,853.50 = 76,809.62 : x
  2. Step 2: Convert to fraction form
    209,963.90/314,853.50 = 76,809.62/x
  3. Step 3: Cross multiply
    209,963.90x = 314,853.50 × 76,809.62
  4. Step 4: Simplify right side
    209,963.90x = 24,183,777,690.67
  5. Step 5: Solve for x
    x = 24,183,777,690.67/209,963.90
  6. Step 6: Final answer
    x = 115,180.65

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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.