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Finding the Fourth Proportional to 120,914.64, 166,853.52 and 75,612.96

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Solution

The fourth proportional to 120,914.64, 166,853.52 and 75,612.96 is: 104,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,914.64 : 166,853.52 = 75,612.96 : x
  2. Step 2: Convert to fraction form
    120,914.64/166,853.52 = 75,612.96/x
  3. Step 3: Cross multiply
    120,914.64x = 166,853.52 × 75,612.96
  4. Step 4: Simplify right side
    120,914.64x = 12,616,288,533.62
  5. Step 5: Solve for x
    x = 12,616,288,533.62/120,914.64
  6. Step 6: Final answer
    x = 104,340.45

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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.