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Finding the Fourth Proportional to 209,490.40, 289,099.44 and 113,999.68

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Solution

The fourth proportional to 209,490.40, 289,099.44 and 113,999.68 is: 157,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,490.40 : 289,099.44 = 113,999.68 : x
  2. Step 2: Convert to fraction form
    209,490.40/289,099.44 = 113,999.68/x
  3. Step 3: Cross multiply
    209,490.40x = 289,099.44 × 113,999.68
  4. Step 4: Simplify right side
    209,490.40x = 32,957,243,648.18
  5. Step 5: Solve for x
    x = 32,957,243,648.18/209,490.40
  6. Step 6: Final answer
    x = 157,321.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.