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Finding the Fourth Proportional to 120,138.58, 165,783.06 and 66,416.32

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Solution

The fourth proportional to 120,138.58, 165,783.06 and 66,416.32 is: 91,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,138.58 : 165,783.06 = 66,416.32 : x
  2. Step 2: Convert to fraction form
    120,138.58/165,783.06 = 66,416.32/x
  3. Step 3: Cross multiply
    120,138.58x = 165,783.06 × 66,416.32
  4. Step 4: Simplify right side
    120,138.58x = 11,010,700,763.54
  5. Step 5: Solve for x
    x = 11,010,700,763.54/120,138.58
  6. Step 6: Final answer
    x = 91,650.00

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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.