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Finding the Fourth Proportional to 221,904.37, 306,266.34 and 214,523.25

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Solution

The fourth proportional to 221,904.37, 306,266.34 and 214,523.25 is: 296,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,904.37 : 306,266.34 = 214,523.25 : x
  2. Step 2: Convert to fraction form
    221,904.37/306,266.34 = 214,523.25/x
  3. Step 3: Cross multiply
    221,904.37x = 306,266.34 × 214,523.25
  4. Step 4: Simplify right side
    221,904.37x = 65,701,250,622.41
  5. Step 5: Solve for x
    x = 65,701,250,622.41/221,904.37
  6. Step 6: Final answer
    x = 296,079.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.