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Finding the Fourth Proportional to 225,432.16, 311,096.64 and 124,828

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Solution

The fourth proportional to 225,432.16, 311,096.64 and 124,828 is: 172,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,432.16 : 311,096.64 = 124,828 : x
  2. Step 2: Convert to fraction form
    225,432.16/311,096.64 = 124,828/x
  3. Step 3: Cross multiply
    225,432.16x = 311,096.64 × 124,828
  4. Step 4: Simplify right side
    225,432.16x = 38,833,571,377.92
  5. Step 5: Solve for x
    x = 38,833,571,377.92/225,432.16
  6. Step 6: Final answer
    x = 172,262.78

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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.