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Finding the Fourth Proportional to 209,591.96, 314,281.14 and 102,983

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Solution

The fourth proportional to 209,591.96, 314,281.14 and 102,983 is: 154,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,591.96 : 314,281.14 = 102,983 : x
  2. Step 2: Convert to fraction form
    209,591.96/314,281.14 = 102,983/x
  3. Step 3: Cross multiply
    209,591.96x = 314,281.14 × 102,983
  4. Step 4: Simplify right side
    209,591.96x = 32,365,614,640.62
  5. Step 5: Solve for x
    x = 32,365,614,640.62/209,591.96
  6. Step 6: Final answer
    x = 154,422.02

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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.