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Finding the Fourth Proportional to 120,135.45, 165,783.99 and 66,419.10

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Solution

The fourth proportional to 120,135.45, 165,783.99 and 66,419.10 is: 91,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,135.45 : 165,783.99 = 66,419.10 : x
  2. Step 2: Convert to fraction form
    120,135.45/165,783.99 = 66,419.10/x
  3. Step 3: Cross multiply
    120,135.45x = 165,783.99 × 66,419.10
  4. Step 4: Simplify right side
    120,135.45x = 11,011,223,410.21
  5. Step 5: Solve for x
    x = 11,011,223,410.21/120,135.45
  6. Step 6: Final answer
    x = 91,656.74

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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.