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Finding the Fourth Proportional to 175,991, 242,977.34 and 122,257.88

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Solution

The fourth proportional to 175,991, 242,977.34 and 122,257.88 is: 168,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,991 : 242,977.34 = 122,257.88 : x
  2. Step 2: Convert to fraction form
    175,991/242,977.34 = 122,257.88/x
  3. Step 3: Cross multiply
    175,991x = 242,977.34 × 122,257.88
  4. Step 4: Simplify right side
    175,991x = 29,705,894,476.44
  5. Step 5: Solve for x
    x = 29,705,894,476.44/175,991
  6. Step 6: Final answer
    x = 168,792.12

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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.