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Finding the Fourth Proportional to 159,594.42, 220,241.76 and 87,976.98

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Solution

The fourth proportional to 159,594.42, 220,241.76 and 87,976.98 is: 121,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,594.42 : 220,241.76 = 87,976.98 : x
  2. Step 2: Convert to fraction form
    159,594.42/220,241.76 = 87,976.98/x
  3. Step 3: Cross multiply
    159,594.42x = 220,241.76 × 87,976.98
  4. Step 4: Simplify right side
    159,594.42x = 19,376,204,914.68
  5. Step 5: Solve for x
    x = 19,376,204,914.68/159,594.42
  6. Step 6: Final answer
    x = 121,409.04

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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.