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Finding the Fourth Proportional to 225,838.47, 311,657.04 and 125,236.47

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Solution

The fourth proportional to 225,838.47, 311,657.04 and 125,236.47 is: 172,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,838.47 : 311,657.04 = 125,236.47 : x
  2. Step 2: Convert to fraction form
    225,838.47/311,657.04 = 125,236.47/x
  3. Step 3: Cross multiply
    225,838.47x = 311,657.04 × 125,236.47
  4. Step 4: Simplify right side
    225,838.47x = 39,030,827,540.25
  5. Step 5: Solve for x
    x = 39,030,827,540.25/225,838.47
  6. Step 6: Final answer
    x = 172,826.30

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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.