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Finding the Fourth Proportional to 130,496.80, 195,745.20 and 77,879.20

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Solution

The fourth proportional to 130,496.80, 195,745.20 and 77,879.20 is: 116,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,496.80 : 195,745.20 = 77,879.20 : x
  2. Step 2: Convert to fraction form
    130,496.80/195,745.20 = 77,879.20/x
  3. Step 3: Cross multiply
    130,496.80x = 195,745.20 × 77,879.20
  4. Step 4: Simplify right side
    130,496.80x = 15,244,479,579.84
  5. Step 5: Solve for x
    x = 15,244,479,579.84/130,496.80
  6. Step 6: Final answer
    x = 116,818.80

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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.