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Finding the Fourth Proportional to 130,077.29, 194,997.63 and 50,064.23

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Solution

The fourth proportional to 130,077.29, 194,997.63 and 50,064.23 is: 75,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,077.29 : 194,997.63 = 50,064.23 : x
  2. Step 2: Convert to fraction form
    130,077.29/194,997.63 = 50,064.23/x
  3. Step 3: Cross multiply
    130,077.29x = 194,997.63 × 50,064.23
  4. Step 4: Simplify right side
    130,077.29x = 9,762,405,494.54
  5. Step 5: Solve for x
    x = 9,762,405,494.54/130,077.29
  6. Step 6: Final answer
    x = 75,050.80

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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.