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Finding the Fourth Proportional to 214,932.30, 322,398.45 and 67,188.30

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Solution

The fourth proportional to 214,932.30, 322,398.45 and 67,188.30 is: 100,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,932.30 : 322,398.45 = 67,188.30 : x
  2. Step 2: Convert to fraction form
    214,932.30/322,398.45 = 67,188.30/x
  3. Step 3: Cross multiply
    214,932.30x = 322,398.45 × 67,188.30
  4. Step 4: Simplify right side
    214,932.30x = 21,661,403,778.14
  5. Step 5: Solve for x
    x = 21,661,403,778.14/214,932.30
  6. Step 6: Final answer
    x = 100,782.45

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1.5x scale

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.