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Finding the Fourth Proportional to 225,763, 311,562.66 and 125,161

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Solution

The fourth proportional to 225,763, 311,562.66 and 125,161 is: 172,727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,763 : 311,562.66 = 125,161 : x
  2. Step 2: Convert to fraction form
    225,763/311,562.66 = 125,161/x
  3. Step 3: Cross multiply
    225,763x = 311,562.66 × 125,161
  4. Step 4: Simplify right side
    225,763x = 38,995,494,088.26
  5. Step 5: Solve for x
    x = 38,995,494,088.26/225,763
  6. Step 6: Final answer
    x = 172,727.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.