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Finding the Fourth Proportional to 262,844.66, 362,674.86 and 160,893.20

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Solution

The fourth proportional to 262,844.66, 362,674.86 and 160,893.20 is: 222,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,844.66 : 362,674.86 = 160,893.20 : x
  2. Step 2: Convert to fraction form
    262,844.66/362,674.86 = 160,893.20/x
  3. Step 3: Cross multiply
    262,844.66x = 362,674.86 × 160,893.20
  4. Step 4: Simplify right side
    262,844.66x = 58,351,918,784.95
  5. Step 5: Solve for x
    x = 58,351,918,784.95/262,844.66
  6. Step 6: Final answer
    x = 222,001.54

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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.