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Finding the Fourth Proportional to 211,396.31, 317,100.24 and 61,632.98

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Solution

The fourth proportional to 211,396.31, 317,100.24 and 61,632.98 is: 92,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,396.31 : 317,100.24 = 61,632.98 : x
  2. Step 2: Convert to fraction form
    211,396.31/317,100.24 = 61,632.98/x
  3. Step 3: Cross multiply
    211,396.31x = 317,100.24 × 61,632.98
  4. Step 4: Simplify right side
    211,396.31x = 19,543,832,749.92
  5. Step 5: Solve for x
    x = 19,543,832,749.92/211,396.31
  6. Step 6: Final answer
    x = 92,451.15

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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.