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Finding the Fourth Proportional to 192,083.47, 288,051.36 and 132,739.22

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Solution

The fourth proportional to 192,083.47, 288,051.36 and 132,739.22 is: 199,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,083.47 : 288,051.36 = 132,739.22 : x
  2. Step 2: Convert to fraction form
    192,083.47/288,051.36 = 132,739.22/x
  3. Step 3: Cross multiply
    192,083.47x = 288,051.36 × 132,739.22
  4. Step 4: Simplify right side
    192,083.47x = 38,235,713,068.70
  5. Step 5: Solve for x
    x = 38,235,713,068.70/192,083.47
  6. Step 6: Final answer
    x = 199,057.80

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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.