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Finding the Fourth Proportional to 143,215, 197,689.62 and 122,990.38

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Solution

The fourth proportional to 143,215, 197,689.62 and 122,990.38 is: 169,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,215 : 197,689.62 = 122,990.38 : x
  2. Step 2: Convert to fraction form
    143,215/197,689.62 = 122,990.38/x
  3. Step 3: Cross multiply
    143,215x = 197,689.62 × 122,990.38
  4. Step 4: Simplify right side
    143,215x = 24,313,921,485.86
  5. Step 5: Solve for x
    x = 24,313,921,485.86/143,215
  6. Step 6: Final answer
    x = 169,772.17

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Why These Related Problems?

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