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Finding the Fourth Proportional to 204,468.20, 282,165.54 and 115,044.20

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Solution

The fourth proportional to 204,468.20, 282,165.54 and 115,044.20 is: 158,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,468.20 : 282,165.54 = 115,044.20 : x
  2. Step 2: Convert to fraction form
    204,468.20/282,165.54 = 115,044.20/x
  3. Step 3: Cross multiply
    204,468.20x = 282,165.54 × 115,044.20
  4. Step 4: Simplify right side
    204,468.20x = 32,461,508,816.87
  5. Step 5: Solve for x
    x = 32,461,508,816.87/204,468.20
  6. Step 6: Final answer
    x = 158,760.67

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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.