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Finding the Fourth Proportional to 120,155.34, 165,812.88 and 66,441.42

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Solution

The fourth proportional to 120,155.34, 165,812.88 and 66,441.42 is: 91,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,155.34 : 165,812.88 = 66,441.42 : x
  2. Step 2: Convert to fraction form
    120,155.34/165,812.88 = 66,441.42/x
  3. Step 3: Cross multiply
    120,155.34x = 165,812.88 × 66,441.42
  4. Step 4: Simplify right side
    120,155.34x = 11,016,843,201.49
  5. Step 5: Solve for x
    x = 11,016,843,201.49/120,155.34
  6. Step 6: Final answer
    x = 91,688.34

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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.