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Finding the Fourth Proportional to 133,200.30, 199,630.35 and 54,225.30

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Solution

The fourth proportional to 133,200.30, 199,630.35 and 54,225.30 is: 81,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,200.30 : 199,630.35 = 54,225.30 : x
  2. Step 2: Convert to fraction form
    133,200.30/199,630.35 = 54,225.30/x
  3. Step 3: Cross multiply
    133,200.30x = 199,630.35 × 54,225.30
  4. Step 4: Simplify right side
    133,200.30x = 10,825,015,617.86
  5. Step 5: Solve for x
    x = 10,825,015,617.86/133,200.30
  6. Step 6: Final answer
    x = 81,268.70

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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.