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Finding the Fourth Proportional to 265,884.89, 366,922.29 and 145,028.77

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Solution

The fourth proportional to 265,884.89, 366,922.29 and 145,028.77 is: 200,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,884.89 : 366,922.29 = 145,028.77 : x
  2. Step 2: Convert to fraction form
    265,884.89/366,922.29 = 145,028.77/x
  3. Step 3: Cross multiply
    265,884.89x = 366,922.29 × 145,028.77
  4. Step 4: Simplify right side
    265,884.89x = 53,214,288,404.28
  5. Step 5: Solve for x
    x = 53,214,288,404.28/265,884.89
  6. Step 6: Final answer
    x = 200,140.33

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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.