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Finding the Fourth Proportional to 202,856.88, 304,292.26 and 69,736

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Solution

The fourth proportional to 202,856.88, 304,292.26 and 69,736 is: 104,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,856.88 : 304,292.26 = 69,736 : x
  2. Step 2: Convert to fraction form
    202,856.88/304,292.26 = 69,736/x
  3. Step 3: Cross multiply
    202,856.88x = 304,292.26 × 69,736
  4. Step 4: Simplify right side
    202,856.88x = 21,220,125,043.36
  5. Step 5: Solve for x
    x = 21,220,125,043.36/202,856.88
  6. Step 6: Final answer
    x = 104,606.39

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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.