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Finding the Fourth Proportional to 215,256.52, 322,881.52 and 96,844.24

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Solution

The fourth proportional to 215,256.52, 322,881.52 and 96,844.24 is: 145,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,256.52 : 322,881.52 = 96,844.24 : x
  2. Step 2: Convert to fraction form
    215,256.52/322,881.52 = 96,844.24/x
  3. Step 3: Cross multiply
    215,256.52x = 322,881.52 × 96,844.24
  4. Step 4: Simplify right side
    215,256.52x = 31,269,215,414.44
  5. Step 5: Solve for x
    x = 31,269,215,414.44/215,256.52
  6. Step 6: Final answer
    x = 145,264.89

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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.