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Finding the Fourth Proportional to 127,105.20, 190,600.20 and 48,193.20

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Solution

The fourth proportional to 127,105.20, 190,600.20 and 48,193.20 is: 72,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,105.20 : 190,600.20 = 48,193.20 : x
  2. Step 2: Convert to fraction form
    127,105.20/190,600.20 = 48,193.20/x
  3. Step 3: Cross multiply
    127,105.20x = 190,600.20 × 48,193.20
  4. Step 4: Simplify right side
    127,105.20x = 9,185,633,558.64
  5. Step 5: Solve for x
    x = 9,185,633,558.64/127,105.20
  6. Step 6: Final answer
    x = 72,267.96

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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.