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Finding the Fourth Proportional to 171,201.76, 256,876.16 and 66,094.54

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Solution

The fourth proportional to 171,201.76, 256,876.16 and 66,094.54 is: 99,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,201.76 : 256,876.16 = 66,094.54 : x
  2. Step 2: Convert to fraction form
    171,201.76/256,876.16 = 66,094.54/x
  3. Step 3: Cross multiply
    171,201.76x = 256,876.16 × 66,094.54
  4. Step 4: Simplify right side
    171,201.76x = 16,978,111,632.17
  5. Step 5: Solve for x
    x = 16,978,111,632.17/171,201.76
  6. Step 6: Final answer
    x = 99,170.19

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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.