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Finding the Fourth Proportional to 109,399.60, 164,000.40 and 76,135.60

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Solution

The fourth proportional to 109,399.60, 164,000.40 and 76,135.60 is: 114,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,399.60 : 164,000.40 = 76,135.60 : x
  2. Step 2: Convert to fraction form
    109,399.60/164,000.40 = 76,135.60/x
  3. Step 3: Cross multiply
    109,399.60x = 164,000.40 × 76,135.60
  4. Step 4: Simplify right side
    109,399.60x = 12,486,268,854.24
  5. Step 5: Solve for x
    x = 12,486,268,854.24/109,399.60
  6. Step 6: Final answer
    x = 114,134.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.