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Finding the Fourth Proportional to 192,127.14, 288,204.54 and 73,798.47

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Solution

The fourth proportional to 192,127.14, 288,204.54 and 73,798.47 is: 110,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,127.14 : 288,204.54 = 73,798.47 : x
  2. Step 2: Convert to fraction form
    192,127.14/288,204.54 = 73,798.47/x
  3. Step 3: Cross multiply
    192,127.14x = 288,204.54 × 73,798.47
  4. Step 4: Simplify right side
    192,127.14x = 21,269,054,099.05
  5. Step 5: Solve for x
    x = 21,269,054,099.05/192,127.14
  6. Step 6: Final answer
    x = 110,703.02

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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.