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Finding the Fourth Proportional to 225,427, 311,089.26 and 124,825

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Solution

The fourth proportional to 225,427, 311,089.26 and 124,825 is: 172,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,427 : 311,089.26 = 124,825 : x
  2. Step 2: Convert to fraction form
    225,427/311,089.26 = 124,825/x
  3. Step 3: Cross multiply
    225,427x = 311,089.26 × 124,825
  4. Step 4: Simplify right side
    225,427x = 38,831,716,879.50
  5. Step 5: Solve for x
    x = 38,831,716,879.50/225,427
  6. Step 6: Final answer
    x = 172,258.50

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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.