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Finding the Fourth Proportional to 130,471.70, 195,745.48 and 54,606.03

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Solution

The fourth proportional to 130,471.70, 195,745.48 and 54,606.03 is: 81,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,471.70 : 195,745.48 = 54,606.03 : x
  2. Step 2: Convert to fraction form
    130,471.70/195,745.48 = 54,606.03/x
  3. Step 3: Cross multiply
    130,471.70x = 195,745.48 × 54,606.03
  4. Step 4: Simplify right side
    130,471.70x = 10,688,883,783.75
  5. Step 5: Solve for x
    x = 10,688,883,783.75/130,471.70
  6. Step 6: Final answer
    x = 81,924.92

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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.