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Finding the Fourth Proportional to 172,478.52, 238,020.24 and 97,027.02

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Solution

The fourth proportional to 172,478.52, 238,020.24 and 97,027.02 is: 133,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,478.52 : 238,020.24 = 97,027.02 : x
  2. Step 2: Convert to fraction form
    172,478.52/238,020.24 = 97,027.02/x
  3. Step 3: Cross multiply
    172,478.52x = 238,020.24 × 97,027.02
  4. Step 4: Simplify right side
    172,478.52x = 23,094,394,586.88
  5. Step 5: Solve for x
    x = 23,094,394,586.88/172,478.52
  6. Step 6: Final answer
    x = 133,897.22

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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.