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Finding the Fourth Proportional to 207,807.40, 311,513.82 and 67,467.88

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Solution

The fourth proportional to 207,807.40, 311,513.82 and 67,467.88 is: 101,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,807.40 : 311,513.82 = 67,467.88 : x
  2. Step 2: Convert to fraction form
    207,807.40/311,513.82 = 67,467.88/x
  3. Step 3: Cross multiply
    207,807.40x = 311,513.82 × 67,467.88
  4. Step 4: Simplify right side
    207,807.40x = 21,017,177,026.10
  5. Step 5: Solve for x
    x = 21,017,177,026.10/207,807.40
  6. Step 6: Final answer
    x = 101,137.77

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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.