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Finding the Fourth Proportional to 109,403.60, 164,057.40 and 50,219.60

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Solution

The fourth proportional to 109,403.60, 164,057.40 and 50,219.60 is: 75,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,403.60 : 164,057.40 = 50,219.60 : x
  2. Step 2: Convert to fraction form
    109,403.60/164,057.40 = 50,219.60/x
  3. Step 3: Cross multiply
    109,403.60x = 164,057.40 × 50,219.60
  4. Step 4: Simplify right side
    109,403.60x = 8,238,897,005.04
  5. Step 5: Solve for x
    x = 8,238,897,005.04/109,403.60
  6. Step 6: Final answer
    x = 75,307.37

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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.