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Finding the Fourth Proportional to 127,105.20, 190,657.80 and 33,620.40

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Solution

The fourth proportional to 127,105.20, 190,657.80 and 33,620.40 is: 50,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,105.20 : 190,657.80 = 33,620.40 : x
  2. Step 2: Convert to fraction form
    127,105.20/190,657.80 = 33,620.40/x
  3. Step 3: Cross multiply
    127,105.20x = 190,657.80 × 33,620.40
  4. Step 4: Simplify right side
    127,105.20x = 6,409,991,499.12
  5. Step 5: Solve for x
    x = 6,409,991,499.12/127,105.20
  6. Step 6: Final answer
    x = 50,430.60

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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.