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Finding the Fourth Proportional to 221,296.75, 331,945.32 and 94,854.94

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Solution

The fourth proportional to 221,296.75, 331,945.32 and 94,854.94 is: 142,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,296.75 : 331,945.32 = 94,854.94 : x
  2. Step 2: Convert to fraction form
    221,296.75/331,945.32 = 94,854.94/x
  3. Step 3: Cross multiply
    221,296.75x = 331,945.32 × 94,854.94
  4. Step 4: Simplify right side
    221,296.75x = 31,486,653,411.88
  5. Step 5: Solve for x
    x = 31,486,653,411.88/221,296.75
  6. Step 6: Final answer
    x = 142,282.49

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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.