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Finding the Fourth Proportional to 221,411, 305,545.56 and 125,917.58

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Solution

The fourth proportional to 221,411, 305,545.56 and 125,917.58 is: 173,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,411 : 305,545.56 = 125,917.58 : x
  2. Step 2: Convert to fraction form
    221,411/305,545.56 = 125,917.58/x
  3. Step 3: Cross multiply
    221,411x = 305,545.56 × 125,917.58
  4. Step 4: Simplify right side
    221,411x = 38,473,557,494.94
  5. Step 5: Solve for x
    x = 38,473,557,494.94/221,411
  6. Step 6: Final answer
    x = 173,765.34

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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.