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Finding the Fourth Proportional to 120,147.48, 165,800.58 and 66,431.08

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Solution

The fourth proportional to 120,147.48, 165,800.58 and 66,431.08 is: 91,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,147.48 : 165,800.58 = 66,431.08 : x
  2. Step 2: Convert to fraction form
    120,147.48/165,800.58 = 66,431.08/x
  3. Step 3: Cross multiply
    120,147.48x = 165,800.58 × 66,431.08
  4. Step 4: Simplify right side
    120,147.48x = 11,014,311,594.03
  5. Step 5: Solve for x
    x = 11,014,311,594.03/120,147.48
  6. Step 6: Final answer
    x = 91,673.26

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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.