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Finding the Fourth Proportional to 117,310.80, 175,982.40 and 42,412.80

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Solution

The fourth proportional to 117,310.80, 175,982.40 and 42,412.80 is: 63,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,310.80 : 175,982.40 = 42,412.80 : x
  2. Step 2: Convert to fraction form
    117,310.80/175,982.40 = 42,412.80/x
  3. Step 3: Cross multiply
    117,310.80x = 175,982.40 × 42,412.80
  4. Step 4: Simplify right side
    117,310.80x = 7,463,906,334.72
  5. Step 5: Solve for x
    x = 7,463,906,334.72/117,310.80
  6. Step 6: Final answer
    x = 63,625.06

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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.