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Finding the Fourth Proportional to 262,896, 362,770.48 and 160,950.20

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Solution

The fourth proportional to 262,896, 362,770.48 and 160,950.20 is: 222,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,896 : 362,770.48 = 160,950.20 : x
  2. Step 2: Convert to fraction form
    262,896/362,770.48 = 160,950.20/x
  3. Step 3: Cross multiply
    262,896x = 362,770.48 × 160,950.20
  4. Step 4: Simplify right side
    262,896x = 58,387,981,310.10
  5. Step 5: Solve for x
    x = 58,387,981,310.10/262,896
  6. Step 6: Final answer
    x = 222,095.36

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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.