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Finding the Fourth Proportional to 293,269, 404,711.22 and 159,133

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Solution

The fourth proportional to 293,269, 404,711.22 and 159,133 is: 219,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,269 : 404,711.22 = 159,133 : x
  2. Step 2: Convert to fraction form
    293,269/404,711.22 = 159,133/x
  3. Step 3: Cross multiply
    293,269x = 404,711.22 × 159,133
  4. Step 4: Simplify right side
    293,269x = 64,402,910,572.26
  5. Step 5: Solve for x
    x = 64,402,910,572.26/293,269
  6. Step 6: Final answer
    x = 219,603.54

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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.