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Finding the Fourth Proportional to 251,577.76, 347,320.64 and 166,809.44

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Solution

The fourth proportional to 251,577.76, 347,320.64 and 166,809.44 is: 230,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,577.76 : 347,320.64 = 166,809.44 : x
  2. Step 2: Convert to fraction form
    251,577.76/347,320.64 = 166,809.44/x
  3. Step 3: Cross multiply
    251,577.76x = 347,320.64 × 166,809.44
  4. Step 4: Simplify right side
    251,577.76x = 57,936,361,458.84
  5. Step 5: Solve for x
    x = 57,936,361,458.84/251,577.76
  6. Step 6: Final answer
    x = 230,292.06

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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.