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Finding the Fourth Proportional to 120,128.87, 165,774.60 and 66,416.15

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Solution

The fourth proportional to 120,128.87, 165,774.60 and 66,416.15 is: 91,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,128.87 : 165,774.60 = 66,416.15 : x
  2. Step 2: Convert to fraction form
    120,128.87/165,774.60 = 66,416.15/x
  3. Step 3: Cross multiply
    120,128.87x = 165,774.60 × 66,416.15
  4. Step 4: Simplify right side
    120,128.87x = 11,010,111,114.23
  5. Step 5: Solve for x
    x = 11,010,111,114.23/120,128.87
  6. Step 6: Final answer
    x = 91,652.50

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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.