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Finding the Fourth Proportional to 230,963.77, 346,455.36 and 112,734.55

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Solution

The fourth proportional to 230,963.77, 346,455.36 and 112,734.55 is: 169,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,963.77 : 346,455.36 = 112,734.55 : x
  2. Step 2: Convert to fraction form
    230,963.77/346,455.36 = 112,734.55/x
  3. Step 3: Cross multiply
    230,963.77x = 346,455.36 × 112,734.55
  4. Step 4: Simplify right side
    230,963.77x = 39,057,489,104.69
  5. Step 5: Solve for x
    x = 39,057,489,104.69/230,963.77
  6. Step 6: Final answer
    x = 169,106.56

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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.