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Finding the Fourth Proportional to 197,649.44, 272,755.88 and 107,005.38

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Solution

The fourth proportional to 197,649.44, 272,755.88 and 107,005.38 is: 147,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,649.44 : 272,755.88 = 107,005.38 : x
  2. Step 2: Convert to fraction form
    197,649.44/272,755.88 = 107,005.38/x
  3. Step 3: Cross multiply
    197,649.44x = 272,755.88 × 107,005.38
  4. Step 4: Simplify right side
    197,649.44x = 29,186,346,586.63
  5. Step 5: Solve for x
    x = 29,186,346,586.63/197,649.44
  6. Step 6: Final answer
    x = 147,667.24

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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.