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Finding the Fourth Proportional to 301,166.91, 415,614.24 and 165,192.01

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Solution

The fourth proportional to 301,166.91, 415,614.24 and 165,192.01 is: 227,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,166.91 : 415,614.24 = 165,192.01 : x
  2. Step 2: Convert to fraction form
    301,166.91/415,614.24 = 165,192.01/x
  3. Step 3: Cross multiply
    301,166.91x = 415,614.24 × 165,192.01
  4. Step 4: Simplify right side
    301,166.91x = 68,656,150,651.19
  5. Step 5: Solve for x
    x = 68,656,150,651.19/301,166.91
  6. Step 6: Final answer
    x = 227,967.11

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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.