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Finding the Fourth Proportional to 225,953.96, 338,517.84 and 105,790.46

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Solution

The fourth proportional to 225,953.96, 338,517.84 and 105,790.46 is: 158,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,953.96 : 338,517.84 = 105,790.46 : x
  2. Step 2: Convert to fraction form
    225,953.96/338,517.84 = 105,790.46/x
  3. Step 3: Cross multiply
    225,953.96x = 338,517.84 × 105,790.46
  4. Step 4: Simplify right side
    225,953.96x = 35,811,958,011.81
  5. Step 5: Solve for x
    x = 35,811,958,011.81/225,953.96
  6. Step 6: Final answer
    x = 158,492.28

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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.