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Finding the Fourth Proportional to 176,778.49, 243,949.64 and 96,204.29

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Solution

The fourth proportional to 176,778.49, 243,949.64 and 96,204.29 is: 132,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,778.49 : 243,949.64 = 96,204.29 : x
  2. Step 2: Convert to fraction form
    176,778.49/243,949.64 = 96,204.29/x
  3. Step 3: Cross multiply
    176,778.49x = 243,949.64 × 96,204.29
  4. Step 4: Simplify right side
    176,778.49x = 23,469,001,501.25
  5. Step 5: Solve for x
    x = 23,469,001,501.25/176,778.49
  6. Step 6: Final answer
    x = 132,759.37

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1.5x scale

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.