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Finding the Fourth Proportional to 272,255.92, 408,383.88 and 85,282

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Solution

The fourth proportional to 272,255.92, 408,383.88 and 85,282 is: 127,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,255.92 : 408,383.88 = 85,282 : x
  2. Step 2: Convert to fraction form
    272,255.92/408,383.88 = 85,282/x
  3. Step 3: Cross multiply
    272,255.92x = 408,383.88 × 85,282
  4. Step 4: Simplify right side
    272,255.92x = 34,827,794,054.16
  5. Step 5: Solve for x
    x = 34,827,794,054.16/272,255.92
  6. Step 6: Final answer
    x = 127,923.00

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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.