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Finding the Fourth Proportional to 143,195.63, 214,739.42 and 115,046.51

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Solution

The fourth proportional to 143,195.63, 214,739.42 and 115,046.51 is: 172,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,195.63 : 214,739.42 = 115,046.51 : x
  2. Step 2: Convert to fraction form
    143,195.63/214,739.42 = 115,046.51/x
  3. Step 3: Cross multiply
    143,195.63x = 214,739.42 × 115,046.51
  4. Step 4: Simplify right side
    143,195.63x = 24,705,019,181.49
  5. Step 5: Solve for x
    x = 24,705,019,181.49/143,195.63
  6. Step 6: Final answer
    x = 172,526.35

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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.