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Finding the Fourth Proportional to 142,933.41, 214,356.20 and 98,843.49

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Solution

The fourth proportional to 142,933.41, 214,356.20 and 98,843.49 is: 148,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,933.41 : 214,356.20 = 98,843.49 : x
  2. Step 2: Convert to fraction form
    142,933.41/214,356.20 = 98,843.49/x
  3. Step 3: Cross multiply
    142,933.41x = 214,356.20 × 98,843.49
  4. Step 4: Simplify right side
    142,933.41x = 21,187,714,416.92
  5. Step 5: Solve for x
    x = 21,187,714,416.92/142,933.41
  6. Step 6: Final answer
    x = 148,234.86

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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.