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Finding the Fourth Proportional to 127,903.20, 191,745.41 and 49,074

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Solution

The fourth proportional to 127,903.20, 191,745.41 and 49,074 is: 73,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,903.20 : 191,745.41 = 49,074 : x
  2. Step 2: Convert to fraction form
    127,903.20/191,745.41 = 49,074/x
  3. Step 3: Cross multiply
    127,903.20x = 191,745.41 × 49,074
  4. Step 4: Simplify right side
    127,903.20x = 9,409,714,004.97
  5. Step 5: Solve for x
    x = 9,409,714,004.97/127,903.20
  6. Step 6: Final answer
    x = 73,569.03

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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.