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Finding the Fourth Proportional to 235,727.88, 353,029 and 135,677.77

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Solution

The fourth proportional to 235,727.88, 353,029 and 135,677.77 is: 203,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,727.88 : 353,029 = 135,677.77 : x
  2. Step 2: Convert to fraction form
    235,727.88/353,029 = 135,677.77/x
  3. Step 3: Cross multiply
    235,727.88x = 353,029 × 135,677.77
  4. Step 4: Simplify right side
    235,727.88x = 47,898,187,465.33
  5. Step 5: Solve for x
    x = 47,898,187,465.33/235,727.88
  6. Step 6: Final answer
    x = 203,192.71

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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.