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Finding the Fourth Proportional to 214,755.76, 322,137.42 and 64,997.56

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Solution

The fourth proportional to 214,755.76, 322,137.42 and 64,997.56 is: 97,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,755.76 : 322,137.42 = 64,997.56 : x
  2. Step 2: Convert to fraction form
    214,755.76/322,137.42 = 64,997.56/x
  3. Step 3: Cross multiply
    214,755.76x = 322,137.42 × 64,997.56
  4. Step 4: Simplify right side
    214,755.76x = 20,938,146,284.70
  5. Step 5: Solve for x
    x = 20,938,146,284.70/214,755.76
  6. Step 6: Final answer
    x = 97,497.48

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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.