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Finding the Fourth Proportional to 176,564, 243,660.96 and 95,991.32

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Solution

The fourth proportional to 176,564, 243,660.96 and 95,991.32 is: 132,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,564 : 243,660.96 = 95,991.32 : x
  2. Step 2: Convert to fraction form
    176,564/243,660.96 = 95,991.32/x
  3. Step 3: Cross multiply
    176,564x = 243,660.96 × 95,991.32
  4. Step 4: Simplify right side
    176,564x = 23,389,337,182.87
  5. Step 5: Solve for x
    x = 23,389,337,182.87/176,564
  6. Step 6: Final answer
    x = 132,469.46

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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.