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Finding the Fourth Proportional to 120,812.64, 166,646.05 and 77,849.02

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Solution

The fourth proportional to 120,812.64, 166,646.05 and 77,849.02 is: 107,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,812.64 : 166,646.05 = 77,849.02 : x
  2. Step 2: Convert to fraction form
    120,812.64/166,646.05 = 77,849.02/x
  3. Step 3: Cross multiply
    120,812.64x = 166,646.05 × 77,849.02
  4. Step 4: Simplify right side
    120,812.64x = 12,973,231,679.37
  5. Step 5: Solve for x
    x = 12,973,231,679.37/120,812.64
  6. Step 6: Final answer
    x = 107,383.07

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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.