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Finding the Fourth Proportional to 133,071.60, 199,630.44 and 54,228.72

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Solution

The fourth proportional to 133,071.60, 199,630.44 and 54,228.72 is: 81,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071.60 : 199,630.44 = 54,228.72 : x
  2. Step 2: Convert to fraction form
    133,071.60/199,630.44 = 54,228.72/x
  3. Step 3: Cross multiply
    133,071.60x = 199,630.44 × 54,228.72
  4. Step 4: Simplify right side
    133,071.60x = 10,825,703,234.24
  5. Step 5: Solve for x
    x = 10,825,703,234.24/133,071.60
  6. Step 6: Final answer
    x = 81,352.47

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Why These Related Problems?

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