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Finding the Fourth Proportional to 117,073.97, 175,503.31 and 42,175.80

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Solution

The fourth proportional to 117,073.97, 175,503.31 and 42,175.80 is: 63,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,073.97 : 175,503.31 = 42,175.80 : x
  2. Step 2: Convert to fraction form
    117,073.97/175,503.31 = 42,175.80/x
  3. Step 3: Cross multiply
    117,073.97x = 175,503.31 × 42,175.80
  4. Step 4: Simplify right side
    117,073.97x = 7,401,991,413.50
  5. Step 5: Solve for x
    x = 7,401,991,413.50/117,073.97
  6. Step 6: Final answer
    x = 63,224.91

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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.