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Finding the Fourth Proportional to 363,100.12, 501,075.30 and 199,753.06

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Solution

The fourth proportional to 363,100.12, 501,075.30 and 199,753.06 is: 275,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,100.12 : 501,075.30 = 199,753.06 : x
  2. Step 2: Convert to fraction form
    363,100.12/501,075.30 = 199,753.06/x
  3. Step 3: Cross multiply
    363,100.12x = 501,075.30 × 199,753.06
  4. Step 4: Simplify right side
    363,100.12x = 100,091,324,465.42
  5. Step 5: Solve for x
    x = 100,091,324,465.42/363,100.12
  6. Step 6: Final answer
    x = 275,657.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.