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Finding the Fourth Proportional to 262,851.78, 362,735.10 and 149,674.53

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Solution

The fourth proportional to 262,851.78, 362,735.10 and 149,674.53 is: 206,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,851.78 : 362,735.10 = 149,674.53 : x
  2. Step 2: Convert to fraction form
    262,851.78/362,735.10 = 149,674.53/x
  3. Step 3: Cross multiply
    262,851.78x = 362,735.10 × 149,674.53
  4. Step 4: Simplify right side
    262,851.78x = 54,292,205,607.00
  5. Step 5: Solve for x
    x = 54,292,205,607.00/262,851.78
  6. Step 6: Final answer
    x = 206,550.65

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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.