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Finding the Fourth Proportional to 225,675.39, 311,417.67 and 123,682.83

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Solution

The fourth proportional to 225,675.39, 311,417.67 and 123,682.83 is: 170,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,675.39 : 311,417.67 = 123,682.83 : x
  2. Step 2: Convert to fraction form
    225,675.39/311,417.67 = 123,682.83/x
  3. Step 3: Cross multiply
    225,675.39x = 311,417.67 × 123,682.83
  4. Step 4: Simplify right side
    225,675.39x = 38,517,018,737.61
  5. Step 5: Solve for x
    x = 38,517,018,737.61/225,675.39
  6. Step 6: Final answer
    x = 170,674.43

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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.