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Finding the Fourth Proportional to 207,754.30, 311,684.01 and 57,994.48

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Solution

The fourth proportional to 207,754.30, 311,684.01 and 57,994.48 is: 87,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,754.30 : 311,684.01 = 57,994.48 : x
  2. Step 2: Convert to fraction form
    207,754.30/311,684.01 = 57,994.48/x
  3. Step 3: Cross multiply
    207,754.30x = 311,684.01 × 57,994.48
  4. Step 4: Simplify right side
    207,754.30x = 18,075,952,084.26
  5. Step 5: Solve for x
    x = 18,075,952,084.26/207,754.30
  6. Step 6: Final answer
    x = 87,006.39

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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.