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Finding the Fourth Proportional to 120,222.54, 165,906.14 and 71,846.51

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Solution

The fourth proportional to 120,222.54, 165,906.14 and 71,846.51 is: 99,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,222.54 : 165,906.14 = 71,846.51 : x
  2. Step 2: Convert to fraction form
    120,222.54/165,906.14 = 71,846.51/x
  3. Step 3: Cross multiply
    120,222.54x = 165,906.14 × 71,846.51
  4. Step 4: Simplify right side
    120,222.54x = 11,919,775,957.81
  5. Step 5: Solve for x
    x = 11,919,775,957.81/120,222.54
  6. Step 6: Final answer
    x = 99,147.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.