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Finding the Fourth Proportional to 262,274.49, 361,947.69 and 160,287.39

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Solution

The fourth proportional to 262,274.49, 361,947.69 and 160,287.39 is: 221,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,274.49 : 361,947.69 = 160,287.39 : x
  2. Step 2: Convert to fraction form
    262,274.49/361,947.69 = 160,287.39/x
  3. Step 3: Cross multiply
    262,274.49x = 361,947.69 × 160,287.39
  4. Step 4: Simplify right side
    262,274.49x = 58,015,650,546.63
  5. Step 5: Solve for x
    x = 58,015,650,546.63/262,274.49
  6. Step 6: Final answer
    x = 221,202.03

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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.