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Finding the Fourth Proportional to 130,048.44, 195,061.57 and 51,162.44

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Solution

The fourth proportional to 130,048.44, 195,061.57 and 51,162.44 is: 76,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,048.44 : 195,061.57 = 51,162.44 : x
  2. Step 2: Convert to fraction form
    130,048.44/195,061.57 = 51,162.44/x
  3. Step 3: Cross multiply
    130,048.44x = 195,061.57 × 51,162.44
  4. Step 4: Simplify right side
    130,048.44x = 9,979,824,768.22
  5. Step 5: Solve for x
    x = 9,979,824,768.22/130,048.44
  6. Step 6: Final answer
    x = 76,739.29

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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.