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Finding the Fourth Proportional to 214,397.55, 321,642.75 and 64,625.31

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Solution

The fourth proportional to 214,397.55, 321,642.75 and 64,625.31 is: 96,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,397.55 : 321,642.75 = 64,625.31 : x
  2. Step 2: Convert to fraction form
    214,397.55/321,642.75 = 64,625.31/x
  3. Step 3: Cross multiply
    214,397.55x = 321,642.75 × 64,625.31
  4. Step 4: Simplify right side
    214,397.55x = 20,786,262,428.00
  5. Step 5: Solve for x
    x = 20,786,262,428.00/214,397.55
  6. Step 6: Final answer
    x = 96,951.96

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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.