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Finding the Fourth Proportional to 189,745.92, 284,881.32 and 96,317.28

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Solution

The fourth proportional to 189,745.92, 284,881.32 and 96,317.28 is: 144,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,745.92 : 284,881.32 = 96,317.28 : x
  2. Step 2: Convert to fraction form
    189,745.92/284,881.32 = 96,317.28/x
  3. Step 3: Cross multiply
    189,745.92x = 284,881.32 × 96,317.28
  4. Step 4: Simplify right side
    189,745.92x = 27,438,993,865.21
  5. Step 5: Solve for x
    x = 27,438,993,865.21/189,745.92
  6. Step 6: Final answer
    x = 144,609.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.