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Finding the Fourth Proportional to 214,988.26, 322,483.08 and 65,229.78

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Solution

The fourth proportional to 214,988.26, 322,483.08 and 65,229.78 is: 97,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,988.26 : 322,483.08 = 65,229.78 : x
  2. Step 2: Convert to fraction form
    214,988.26/322,483.08 = 65,229.78/x
  3. Step 3: Cross multiply
    214,988.26x = 322,483.08 × 65,229.78
  4. Step 4: Simplify right side
    214,988.26x = 21,035,500,362.12
  5. Step 5: Solve for x
    x = 21,035,500,362.12/214,988.26
  6. Step 6: Final answer
    x = 97,844.88

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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.