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Finding the Fourth Proportional to 120,684.98, 166,577.56 and 75,335.64

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Solution

The fourth proportional to 120,684.98, 166,577.56 and 75,335.64 is: 103,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,684.98 : 166,577.56 = 75,335.64 : x
  2. Step 2: Convert to fraction form
    120,684.98/166,577.56 = 75,335.64/x
  3. Step 3: Cross multiply
    120,684.98x = 166,577.56 × 75,335.64
  4. Step 4: Simplify right side
    120,684.98x = 12,549,227,092.24
  5. Step 5: Solve for x
    x = 12,549,227,092.24/120,684.98
  6. Step 6: Final answer
    x = 103,983.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.