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Finding the Fourth Proportional to 214,775.28, 322,166.16 and 65,022.48

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Solution

The fourth proportional to 214,775.28, 322,166.16 and 65,022.48 is: 97,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,775.28 : 322,166.16 = 65,022.48 : x
  2. Step 2: Convert to fraction form
    214,775.28/322,166.16 = 65,022.48/x
  3. Step 3: Cross multiply
    214,775.28x = 322,166.16 × 65,022.48
  4. Step 4: Simplify right side
    214,775.28x = 20,948,042,695.28
  5. Step 5: Solve for x
    x = 20,948,042,695.28/214,775.28
  6. Step 6: Final answer
    x = 97,534.70

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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.