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Finding the Fourth Proportional to 214,682.10, 322,023.15 and 126,035.70

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Solution

The fourth proportional to 214,682.10, 322,023.15 and 126,035.70 is: 189,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,682.10 : 322,023.15 = 126,035.70 : x
  2. Step 2: Convert to fraction form
    214,682.10/322,023.15 = 126,035.70/x
  3. Step 3: Cross multiply
    214,682.10x = 322,023.15 × 126,035.70
  4. Step 4: Simplify right side
    214,682.10x = 40,586,413,126.46
  5. Step 5: Solve for x
    x = 40,586,413,126.46/214,682.10
  6. Step 6: Final answer
    x = 189,053.55

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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.