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Finding the Fourth Proportional to 267,107.86, 368,608.77 and 146,249.11

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Solution

The fourth proportional to 267,107.86, 368,608.77 and 146,249.11 is: 201,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,107.86 : 368,608.77 = 146,249.11 : x
  2. Step 2: Convert to fraction form
    267,107.86/368,608.77 = 146,249.11/x
  3. Step 3: Cross multiply
    267,107.86x = 368,608.77 × 146,249.11
  4. Step 4: Simplify right side
    267,107.86x = 53,908,704,916.32
  5. Step 5: Solve for x
    x = 53,908,704,916.32/267,107.86
  6. Step 6: Final answer
    x = 201,823.73

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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.