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Finding the Fourth Proportional to 214,586.66, 321,879.98 and 114,443.46

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Solution

The fourth proportional to 214,586.66, 321,879.98 and 114,443.46 is: 171,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,586.66 : 321,879.98 = 114,443.46 : x
  2. Step 2: Convert to fraction form
    214,586.66/321,879.98 = 114,443.46/x
  3. Step 3: Cross multiply
    214,586.66x = 321,879.98 × 114,443.46
  4. Step 4: Simplify right side
    214,586.66x = 36,837,058,615.93
  5. Step 5: Solve for x
    x = 36,837,058,615.93/214,586.66
  6. Step 6: Final answer
    x = 171,665.18

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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.