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Finding the Fourth Proportional to 109,509.60, 164,216.40 and 50,325.60

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Solution

The fourth proportional to 109,509.60, 164,216.40 and 50,325.60 is: 75,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,509.60 : 164,216.40 = 50,325.60 : x
  2. Step 2: Convert to fraction form
    109,509.60/164,216.40 = 50,325.60/x
  3. Step 3: Cross multiply
    109,509.60x = 164,216.40 × 50,325.60
  4. Step 4: Simplify right side
    109,509.60x = 8,264,288,859.84
  5. Step 5: Solve for x
    x = 8,264,288,859.84/109,509.60
  6. Step 6: Final answer
    x = 75,466.34

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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.