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Finding the Fourth Proportional to 110,941.79, 166,454.24 and 57,600.47

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Solution

The fourth proportional to 110,941.79, 166,454.24 and 57,600.47 is: 86,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,941.79 : 166,454.24 = 57,600.47 : x
  2. Step 2: Convert to fraction form
    110,941.79/166,454.24 = 57,600.47/x
  3. Step 3: Cross multiply
    110,941.79x = 166,454.24 × 57,600.47
  4. Step 4: Simplify right side
    110,941.79x = 9,587,841,337.22
  5. Step 5: Solve for x
    x = 9,587,841,337.22/110,941.79
  6. Step 6: Final answer
    x = 86,422.27

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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.