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Finding the Fourth Proportional to 221,945.31, 333,001.85 and 133,260.48

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Solution

The fourth proportional to 221,945.31, 333,001.85 and 133,260.48 is: 199,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,945.31 : 333,001.85 = 133,260.48 : x
  2. Step 2: Convert to fraction form
    221,945.31/333,001.85 = 133,260.48/x
  3. Step 3: Cross multiply
    221,945.31x = 333,001.85 × 133,260.48
  4. Step 4: Simplify right side
    221,945.31x = 44,375,985,705.59
  5. Step 5: Solve for x
    x = 44,375,985,705.59/221,945.31
  6. Step 6: Final answer
    x = 199,941.08

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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.