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Finding the Fourth Proportional to 123,777.63, 185,738.49 and 52,696.53

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Solution

The fourth proportional to 123,777.63, 185,738.49 and 52,696.53 is: 79,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,777.63 : 185,738.49 = 52,696.53 : x
  2. Step 2: Convert to fraction form
    123,777.63/185,738.49 = 52,696.53/x
  3. Step 3: Cross multiply
    123,777.63x = 185,738.49 × 52,696.53
  4. Step 4: Simplify right side
    123,777.63x = 9,787,773,910.44
  5. Step 5: Solve for x
    x = 9,787,773,910.44/123,777.63
  6. Step 6: Final answer
    x = 79,075.47

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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.