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Finding the Fourth Proportional to 172,446.30, 237,983.68 and 96,994.80

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Solution

The fourth proportional to 172,446.30, 237,983.68 and 96,994.80 is: 133,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,446.30 : 237,983.68 = 96,994.80 : x
  2. Step 2: Convert to fraction form
    172,446.30/237,983.68 = 96,994.80/x
  3. Step 3: Cross multiply
    172,446.30x = 237,983.68 × 96,994.80
  4. Step 4: Simplify right side
    172,446.30x = 23,083,179,444.86
  5. Step 5: Solve for x
    x = 23,083,179,444.86/172,446.30
  6. Step 6: Final answer
    x = 133,857.20

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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.