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Finding the Fourth Proportional to 120,180.86, 165,848.52 and 66,464.72

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Solution

The fourth proportional to 120,180.86, 165,848.52 and 66,464.72 is: 91,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,180.86 : 165,848.52 = 66,464.72 : x
  2. Step 2: Convert to fraction form
    120,180.86/165,848.52 = 66,464.72/x
  3. Step 3: Cross multiply
    120,180.86x = 165,848.52 × 66,464.72
  4. Step 4: Simplify right side
    120,180.86x = 11,023,075,486.15
  5. Step 5: Solve for x
    x = 11,023,075,486.15/120,180.86
  6. Step 6: Final answer
    x = 91,720.72

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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.