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Finding the Fourth Proportional to 207,384.82, 311,077.05 and 57,625.04

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Solution

The fourth proportional to 207,384.82, 311,077.05 and 57,625.04 is: 86,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,384.82 : 311,077.05 = 57,625.04 : x
  2. Step 2: Convert to fraction form
    207,384.82/311,077.05 = 57,625.04/x
  3. Step 3: Cross multiply
    207,384.82x = 311,077.05 × 57,625.04
  4. Step 4: Simplify right side
    207,384.82x = 17,925,825,893.95
  5. Step 5: Solve for x
    x = 17,925,825,893.95/207,384.82
  6. Step 6: Final answer
    x = 86,437.50

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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.