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Finding the Fourth Proportional to 188,728.30, 260,453.63 and 117,131.39

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Solution

The fourth proportional to 188,728.30, 260,453.63 and 117,131.39 is: 161,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,728.30 : 260,453.63 = 117,131.39 : x
  2. Step 2: Convert to fraction form
    188,728.30/260,453.63 = 117,131.39/x
  3. Step 3: Cross multiply
    188,728.30x = 260,453.63 × 117,131.39
  4. Step 4: Simplify right side
    188,728.30x = 30,507,293,824.52
  5. Step 5: Solve for x
    x = 30,507,293,824.52/188,728.30
  6. Step 6: Final answer
    x = 161,646.64

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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.