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Finding the Fourth Proportional to 165,349, 228,183.24 and 89,899.12

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Solution

The fourth proportional to 165,349, 228,183.24 and 89,899.12 is: 124,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,349 : 228,183.24 = 89,899.12 : x
  2. Step 2: Convert to fraction form
    165,349/228,183.24 = 89,899.12/x
  3. Step 3: Cross multiply
    165,349x = 228,183.24 × 89,899.12
  4. Step 4: Simplify right side
    165,349x = 20,513,472,474.75
  5. Step 5: Solve for x
    x = 20,513,472,474.75/165,349
  6. Step 6: Final answer
    x = 124,061.67

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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.