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Finding the Fourth Proportional to 127,256.40, 190,906.20 and 38,509.20

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Solution

The fourth proportional to 127,256.40, 190,906.20 and 38,509.20 is: 57,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,256.40 : 190,906.20 = 38,509.20 : x
  2. Step 2: Convert to fraction form
    127,256.40/190,906.20 = 38,509.20/x
  3. Step 3: Cross multiply
    127,256.40x = 190,906.20 × 38,509.20
  4. Step 4: Simplify right side
    127,256.40x = 7,351,645,037.04
  5. Step 5: Solve for x
    x = 7,351,645,037.04/127,256.40
  6. Step 6: Final answer
    x = 57,770.34

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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.