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Finding the Fourth Proportional to 120,546.71, 166,354.18 and 66,830.34

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Solution

The fourth proportional to 120,546.71, 166,354.18 and 66,830.34 is: 92,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,546.71 : 166,354.18 = 66,830.34 : x
  2. Step 2: Convert to fraction form
    120,546.71/166,354.18 = 66,830.34/x
  3. Step 3: Cross multiply
    120,546.71x = 166,354.18 × 66,830.34
  4. Step 4: Simplify right side
    120,546.71x = 11,117,506,409.82
  5. Step 5: Solve for x
    x = 11,117,506,409.82/120,546.71
  6. Step 6: Final answer
    x = 92,225.71

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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.