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Finding the Fourth Proportional to 120,585.66, 166,408.66 and 66,875.64

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Solution

The fourth proportional to 120,585.66, 166,408.66 and 66,875.64 is: 92,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,585.66 : 166,408.66 = 66,875.64 : x
  2. Step 2: Convert to fraction form
    120,585.66/166,408.66 = 66,875.64/x
  3. Step 3: Cross multiply
    120,585.66x = 166,408.66 × 66,875.64
  4. Step 4: Simplify right side
    120,585.66x = 11,128,685,639.04
  5. Step 5: Solve for x
    x = 11,128,685,639.04/120,585.66
  6. Step 6: Final answer
    x = 92,288.63

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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.