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Finding the Fourth Proportional to 120,125.58, 165,766.19 and 66,407.40

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Solution

The fourth proportional to 120,125.58, 165,766.19 and 66,407.40 is: 91,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,125.58 : 165,766.19 = 66,407.40 : x
  2. Step 2: Convert to fraction form
    120,125.58/165,766.19 = 66,407.40/x
  3. Step 3: Cross multiply
    120,125.58x = 165,766.19 × 66,407.40
  4. Step 4: Simplify right side
    120,125.58x = 11,008,101,685.81
  5. Step 5: Solve for x
    x = 11,008,101,685.81/120,125.58
  6. Step 6: Final answer
    x = 91,638.28

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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.