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Finding the Fourth Proportional to 284,765.36, 427,142.28 and 85,086.32

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Solution

The fourth proportional to 284,765.36, 427,142.28 and 85,086.32 is: 127,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,765.36 : 427,142.28 = 85,086.32 : x
  2. Step 2: Convert to fraction form
    284,765.36/427,142.28 = 85,086.32/x
  3. Step 3: Cross multiply
    284,765.36x = 427,142.28 × 85,086.32
  4. Step 4: Simplify right side
    284,765.36x = 36,343,964,721.61
  5. Step 5: Solve for x
    x = 36,343,964,721.61/284,765.36
  6. Step 6: Final answer
    x = 127,627.76

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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.