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Finding the Fourth Proportional to 142,984.50, 214,491.33 and 49,489.98

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Solution

The fourth proportional to 142,984.50, 214,491.33 and 49,489.98 is: 74,240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,984.50 : 214,491.33 = 49,489.98 : x
  2. Step 2: Convert to fraction form
    142,984.50/214,491.33 = 49,489.98/x
  3. Step 3: Cross multiply
    142,984.50x = 214,491.33 × 49,489.98
  4. Step 4: Simplify right side
    142,984.50x = 10,615,171,631.87
  5. Step 5: Solve for x
    x = 10,615,171,631.87/142,984.50
  6. Step 6: Final answer
    x = 74,240.02

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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.