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Finding the Fourth Proportional to 265,206.89, 397,847.00 and 85,297.41

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Solution

The fourth proportional to 265,206.89, 397,847.00 and 85,297.41 is: 127,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,206.89 : 397,847.00 = 85,297.41 : x
  2. Step 2: Convert to fraction form
    265,206.89/397,847.00 = 85,297.41/x
  3. Step 3: Cross multiply
    265,206.89x = 397,847.00 × 85,297.41
  4. Step 4: Simplify right side
    265,206.89x = 33,935,318,889.51
  5. Step 5: Solve for x
    x = 33,935,318,889.51/265,206.89
  6. Step 6: Final answer
    x = 127,957.91

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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.