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Finding the Fourth Proportional to 188,542.36, 260,190.18 and 103,660

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Solution

The fourth proportional to 188,542.36, 260,190.18 and 103,660 is: 143,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,542.36 : 260,190.18 = 103,660 : x
  2. Step 2: Convert to fraction form
    188,542.36/260,190.18 = 103,660/x
  3. Step 3: Cross multiply
    188,542.36x = 260,190.18 × 103,660
  4. Step 4: Simplify right side
    188,542.36x = 26,971,314,058.80
  5. Step 5: Solve for x
    x = 26,971,314,058.80/188,542.36
  6. Step 6: Final answer
    x = 143,051.75

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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.