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Finding the Fourth Proportional to 101,840.64, 152,760.69 and 57,447.24

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Solution

The fourth proportional to 101,840.64, 152,760.69 and 57,447.24 is: 86,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,840.64 : 152,760.69 = 57,447.24 : x
  2. Step 2: Convert to fraction form
    101,840.64/152,760.69 = 57,447.24/x
  3. Step 3: Cross multiply
    101,840.64x = 152,760.69 × 57,447.24
  4. Step 4: Simplify right side
    101,840.64x = 8,775,680,021.00
  5. Step 5: Solve for x
    x = 8,775,680,021.00/101,840.64
  6. Step 6: Final answer
    x = 86,170.71

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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.