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Finding the Fourth Proportional to 210,321.10, 315,481.65 and 85,662.10

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Solution

The fourth proportional to 210,321.10, 315,481.65 and 85,662.10 is: 128,493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,321.10 : 315,481.65 = 85,662.10 : x
  2. Step 2: Convert to fraction form
    210,321.10/315,481.65 = 85,662.10/x
  3. Step 3: Cross multiply
    210,321.10x = 315,481.65 × 85,662.10
  4. Step 4: Simplify right side
    210,321.10x = 27,024,820,650.47
  5. Step 5: Solve for x
    x = 27,024,820,650.47/210,321.10
  6. Step 6: Final answer
    x = 128,493.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.