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Finding the Fourth Proportional to 204,592.56, 282,328.92 and 147,905.52

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Solution

The fourth proportional to 204,592.56, 282,328.92 and 147,905.52 is: 204,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,592.56 : 282,328.92 = 147,905.52 : x
  2. Step 2: Convert to fraction form
    204,592.56/282,328.92 = 147,905.52/x
  3. Step 3: Cross multiply
    204,592.56x = 282,328.92 × 147,905.52
  4. Step 4: Simplify right side
    204,592.56x = 41,758,005,723.64
  5. Step 5: Solve for x
    x = 41,758,005,723.64/204,592.56
  6. Step 6: Final answer
    x = 204,103.25

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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.