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Finding the Fourth Proportional to 215,197.50, 322,848.09 and 67,453.50

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Solution

The fourth proportional to 215,197.50, 322,848.09 and 67,453.50 is: 101,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,197.50 : 322,848.09 = 67,453.50 : x
  2. Step 2: Convert to fraction form
    215,197.50/322,848.09 = 67,453.50/x
  3. Step 3: Cross multiply
    215,197.50x = 322,848.09 × 67,453.50
  4. Step 4: Simplify right side
    215,197.50x = 21,777,233,638.82
  5. Step 5: Solve for x
    x = 21,777,233,638.82/215,197.50
  6. Step 6: Final answer
    x = 101,196.50

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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.