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Finding the Fourth Proportional to 214,498.92, 295,994.34 and 119,002.44

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Solution

The fourth proportional to 214,498.92, 295,994.34 and 119,002.44 is: 164,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,498.92 : 295,994.34 = 119,002.44 : x
  2. Step 2: Convert to fraction form
    214,498.92/295,994.34 = 119,002.44/x
  3. Step 3: Cross multiply
    214,498.92x = 295,994.34 × 119,002.44
  4. Step 4: Simplify right side
    214,498.92x = 35,224,048,686.19
  5. Step 5: Solve for x
    x = 35,224,048,686.19/214,498.92
  6. Step 6: Final answer
    x = 164,215.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.