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Finding the Fourth Proportional to 225,693, 311,456.34 and 125,091

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Solution

The fourth proportional to 225,693, 311,456.34 and 125,091 is: 172,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,693 : 311,456.34 = 125,091 : x
  2. Step 2: Convert to fraction form
    225,693/311,456.34 = 125,091/x
  3. Step 3: Cross multiply
    225,693x = 311,456.34 × 125,091
  4. Step 4: Simplify right side
    225,693x = 38,960,385,026.94
  5. Step 5: Solve for x
    x = 38,960,385,026.94/225,693
  6. Step 6: Final answer
    x = 172,625.58

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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.