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Finding the Fourth Proportional to 223,092.92, 307,868.49 and 121,118.48

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Solution

The fourth proportional to 223,092.92, 307,868.49 and 121,118.48 is: 167,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,092.92 : 307,868.49 = 121,118.48 : x
  2. Step 2: Convert to fraction form
    223,092.92/307,868.49 = 121,118.48/x
  3. Step 3: Cross multiply
    223,092.92x = 307,868.49 × 121,118.48
  4. Step 4: Simplify right side
    223,092.92x = 37,288,562,009.35
  5. Step 5: Solve for x
    x = 37,288,562,009.35/223,092.92
  6. Step 6: Final answer
    x = 167,143.64

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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.