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Finding the Fourth Proportional to 177,432, 244,856.32 and 97,944

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Solution

The fourth proportional to 177,432, 244,856.32 and 97,944 is: 135,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,432 : 244,856.32 = 97,944 : x
  2. Step 2: Convert to fraction form
    177,432/244,856.32 = 97,944/x
  3. Step 3: Cross multiply
    177,432x = 244,856.32 × 97,944
  4. Step 4: Simplify right side
    177,432x = 23,982,207,406.08
  5. Step 5: Solve for x
    x = 23,982,207,406.08/177,432
  6. Step 6: Final answer
    x = 135,162.81

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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.