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Finding the Fourth Proportional to 252,782.89, 348,998.16 and 160,954

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Solution

The fourth proportional to 252,782.89, 348,998.16 and 160,954 is: 222,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,782.89 : 348,998.16 = 160,954 : x
  2. Step 2: Convert to fraction form
    252,782.89/348,998.16 = 160,954/x
  3. Step 3: Cross multiply
    252,782.89x = 348,998.16 × 160,954
  4. Step 4: Simplify right side
    252,782.89x = 56,172,649,844.64
  5. Step 5: Solve for x
    x = 56,172,649,844.64/252,782.89
  6. Step 6: Final answer
    x = 222,216.98

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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.