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Finding the Fourth Proportional to 143,960.92, 216,014.30 and 97,115.38

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Solution

The fourth proportional to 143,960.92, 216,014.30 and 97,115.38 is: 145,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,960.92 : 216,014.30 = 97,115.38 : x
  2. Step 2: Convert to fraction form
    143,960.92/216,014.30 = 97,115.38/x
  3. Step 3: Cross multiply
    143,960.92x = 216,014.30 × 97,115.38
  4. Step 4: Simplify right side
    143,960.92x = 20,978,310,829.93
  5. Step 5: Solve for x
    x = 20,978,310,829.93/143,960.92
  6. Step 6: Final answer
    x = 145,722.26

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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.