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Finding the Fourth Proportional to 221,164.44, 305,213.39 and 125,675.16

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Solution

The fourth proportional to 221,164.44, 305,213.39 and 125,675.16 is: 173,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,164.44 : 305,213.39 = 125,675.16 : x
  2. Step 2: Convert to fraction form
    221,164.44/305,213.39 = 125,675.16/x
  3. Step 3: Cross multiply
    221,164.44x = 305,213.39 × 125,675.16
  4. Step 4: Simplify right side
    221,164.44x = 38,357,740,994.02
  5. Step 5: Solve for x
    x = 38,357,740,994.02/221,164.44
  6. Step 6: Final answer
    x = 173,435.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.