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Finding the Fourth Proportional to 120,431.30, 166,205.40 and 66,733.16

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Solution

The fourth proportional to 120,431.30, 166,205.40 and 66,733.16 is: 92,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,431.30 : 166,205.40 = 66,733.16 : x
  2. Step 2: Convert to fraction form
    120,431.30/166,205.40 = 66,733.16/x
  3. Step 3: Cross multiply
    120,431.30x = 166,205.40 × 66,733.16
  4. Step 4: Simplify right side
    120,431.30x = 11,091,411,551.06
  5. Step 5: Solve for x
    x = 11,091,411,551.06/120,431.30
  6. Step 6: Final answer
    x = 92,097.42

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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.