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Finding the Fourth Proportional to 120,512.81, 166,232.66 and 77,548.39

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Solution

The fourth proportional to 120,512.81, 166,232.66 and 77,548.39 is: 106,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,512.81 : 166,232.66 = 77,548.39 : x
  2. Step 2: Convert to fraction form
    120,512.81/166,232.66 = 77,548.39/x
  3. Step 3: Cross multiply
    120,512.81x = 166,232.66 × 77,548.39
  4. Step 4: Simplify right side
    120,512.81x = 12,891,074,345.09
  5. Step 5: Solve for x
    x = 12,891,074,345.09/120,512.81
  6. Step 6: Final answer
    x = 106,968.50

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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.