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Finding the Fourth Proportional to 142,738.40, 214,057.20 and 49,222.40

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Solution

The fourth proportional to 142,738.40, 214,057.20 and 49,222.40 is: 73,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,738.40 : 214,057.20 = 49,222.40 : x
  2. Step 2: Convert to fraction form
    142,738.40/214,057.20 = 49,222.40/x
  3. Step 3: Cross multiply
    142,738.40x = 214,057.20 × 49,222.40
  4. Step 4: Simplify right side
    142,738.40x = 10,536,409,121.28
  5. Step 5: Solve for x
    x = 10,536,409,121.28/142,738.40
  6. Step 6: Final answer
    x = 73,816.22

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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.