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Finding the Fourth Proportional to 109,216.30, 163,824.45 and 56,728.30

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Solution

The fourth proportional to 109,216.30, 163,824.45 and 56,728.30 is: 85,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,216.30 : 163,824.45 = 56,728.30 : x
  2. Step 2: Convert to fraction form
    109,216.30/163,824.45 = 56,728.30/x
  3. Step 3: Cross multiply
    109,216.30x = 163,824.45 × 56,728.30
  4. Step 4: Simplify right side
    109,216.30x = 9,293,482,546.94
  5. Step 5: Solve for x
    x = 9,293,482,546.94/109,216.30
  6. Step 6: Final answer
    x = 85,092.45

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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.