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Finding the Fourth Proportional to 214,902.75, 322,335.55 and 72,744.98

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Solution

The fourth proportional to 214,902.75, 322,335.55 and 72,744.98 is: 109,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,902.75 : 322,335.55 = 72,744.98 : x
  2. Step 2: Convert to fraction form
    214,902.75/322,335.55 = 72,744.98/x
  3. Step 3: Cross multiply
    214,902.75x = 322,335.55 × 72,744.98
  4. Step 4: Simplify right side
    214,902.75x = 23,448,293,138.04
  5. Step 5: Solve for x
    x = 23,448,293,138.04/214,902.75
  6. Step 6: Final answer
    x = 109,111.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.