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Finding the Fourth Proportional to 215,314.30, 322,971.45 and 65,553.40

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Solution

The fourth proportional to 215,314.30, 322,971.45 and 65,553.40 is: 98,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,314.30 : 322,971.45 = 65,553.40 : x
  2. Step 2: Convert to fraction form
    215,314.30/322,971.45 = 65,553.40/x
  3. Step 3: Cross multiply
    215,314.30x = 322,971.45 × 65,553.40
  4. Step 4: Simplify right side
    215,314.30x = 21,171,876,650.43
  5. Step 5: Solve for x
    x = 21,171,876,650.43/215,314.30
  6. Step 6: Final answer
    x = 98,330.10

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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.