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Finding the Fourth Proportional to 293,027.50, 404,378.16 and 158,891.50

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Solution

The fourth proportional to 293,027.50, 404,378.16 and 158,891.50 is: 219,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,027.50 : 404,378.16 = 158,891.50 : x
  2. Step 2: Convert to fraction form
    293,027.50/404,378.16 = 158,891.50/x
  3. Step 3: Cross multiply
    293,027.50x = 404,378.16 × 158,891.50
  4. Step 4: Simplify right side
    293,027.50x = 64,252,252,409.64
  5. Step 5: Solve for x
    x = 64,252,252,409.64/293,027.50
  6. Step 6: Final answer
    x = 219,270.38

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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.