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Finding the Fourth Proportional to 136,224.48, 204,297.84 and 57,324

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Solution

The fourth proportional to 136,224.48, 204,297.84 and 57,324 is: 85,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,224.48 : 204,297.84 = 57,324 : x
  2. Step 2: Convert to fraction form
    136,224.48/204,297.84 = 57,324/x
  3. Step 3: Cross multiply
    136,224.48x = 204,297.84 × 57,324
  4. Step 4: Simplify right side
    136,224.48x = 11,711,169,380.16
  5. Step 5: Solve for x
    x = 11,711,169,380.16/136,224.48
  6. Step 6: Final answer
    x = 85,969.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.