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Finding the Fourth Proportional to 318,731.80, 478,098.02 and 82,075

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Solution

The fourth proportional to 318,731.80, 478,098.02 and 82,075 is: 123,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,731.80 : 478,098.02 = 82,075 : x
  2. Step 2: Convert to fraction form
    318,731.80/478,098.02 = 82,075/x
  3. Step 3: Cross multiply
    318,731.80x = 478,098.02 × 82,075
  4. Step 4: Simplify right side
    318,731.80x = 39,239,894,991.50
  5. Step 5: Solve for x
    x = 39,239,894,991.50/318,731.80
  6. Step 6: Final answer
    x = 123,112.58

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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.