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Finding the Fourth Proportional to 204,460.64, 306,822.20 and 99,222.20

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Solution

The fourth proportional to 204,460.64, 306,822.20 and 99,222.20 is: 148,896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,460.64 : 306,822.20 = 99,222.20 : x
  2. Step 2: Convert to fraction form
    204,460.64/306,822.20 = 99,222.20/x
  3. Step 3: Cross multiply
    204,460.64x = 306,822.20 × 99,222.20
  4. Step 4: Simplify right side
    204,460.64x = 30,443,573,692.84
  5. Step 5: Solve for x
    x = 30,443,573,692.84/204,460.64
  6. Step 6: Final answer
    x = 148,896.99

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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.