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Finding the Fourth Proportional to 120,138.30, 165,784.14 and 66,420.18

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Solution

The fourth proportional to 120,138.30, 165,784.14 and 66,420.18 is: 91,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,138.30 : 165,784.14 = 66,420.18 : x
  2. Step 2: Convert to fraction form
    120,138.30/165,784.14 = 66,420.18/x
  3. Step 3: Cross multiply
    120,138.30x = 165,784.14 × 66,420.18
  4. Step 4: Simplify right side
    120,138.30x = 11,011,412,419.95
  5. Step 5: Solve for x
    x = 11,011,412,419.95/120,138.30
  6. Step 6: Final answer
    x = 91,656.14

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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.