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Finding the Fourth Proportional to 130,021.38, 195,060.42 and 40,064.40

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Solution

The fourth proportional to 130,021.38, 195,060.42 and 40,064.40 is: 60,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,021.38 : 195,060.42 = 40,064.40 : x
  2. Step 2: Convert to fraction form
    130,021.38/195,060.42 = 40,064.40/x
  3. Step 3: Cross multiply
    130,021.38x = 195,060.42 × 40,064.40
  4. Step 4: Simplify right side
    130,021.38x = 7,814,978,691.05
  5. Step 5: Solve for x
    x = 7,814,978,691.05/130,021.38
  6. Step 6: Final answer
    x = 60,105.34

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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.