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Finding the Fourth Proportional to 176,971.76, 244,217.62 and 96,398.36

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Solution

The fourth proportional to 176,971.76, 244,217.62 and 96,398.36 is: 133,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,971.76 : 244,217.62 = 96,398.36 : x
  2. Step 2: Convert to fraction form
    176,971.76/244,217.62 = 96,398.36/x
  3. Step 3: Cross multiply
    176,971.76x = 244,217.62 × 96,398.36
  4. Step 4: Simplify right side
    176,971.76x = 23,542,178,051.10
  5. Step 5: Solve for x
    x = 23,542,178,051.10/176,971.76
  6. Step 6: Final answer
    x = 133,027.88

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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.