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Finding the Fourth Proportional to 223,008.24, 307,750.92 and 122,404.08

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Solution

The fourth proportional to 223,008.24, 307,750.92 and 122,404.08 is: 168,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,008.24 : 307,750.92 = 122,404.08 : x
  2. Step 2: Convert to fraction form
    223,008.24/307,750.92 = 122,404.08/x
  3. Step 3: Cross multiply
    223,008.24x = 307,750.92 × 122,404.08
  4. Step 4: Simplify right side
    223,008.24x = 37,669,968,231.75
  5. Step 5: Solve for x
    x = 37,669,968,231.75/223,008.24
  6. Step 6: Final answer
    x = 168,917.38

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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.