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Finding the Fourth Proportional to 172,471.70, 238,010.61 and 97,020.20

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Solution

The fourth proportional to 172,471.70, 238,010.61 and 97,020.20 is: 133,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,471.70 : 238,010.61 = 97,020.20 : x
  2. Step 2: Convert to fraction form
    172,471.70/238,010.61 = 97,020.20/x
  3. Step 3: Cross multiply
    172,471.70x = 238,010.61 × 97,020.20
  4. Step 4: Simplify right side
    172,471.70x = 23,091,836,984.32
  5. Step 5: Solve for x
    x = 23,091,836,984.32/172,471.70
  6. Step 6: Final answer
    x = 133,887.69

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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.