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Finding the Fourth Proportional to 199,075.20, 274,723.20 and 109,651.20

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Solution

The fourth proportional to 199,075.20, 274,723.20 and 109,651.20 is: 151,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,075.20 : 274,723.20 = 109,651.20 : x
  2. Step 2: Convert to fraction form
    199,075.20/274,723.20 = 109,651.20/x
  3. Step 3: Cross multiply
    199,075.20x = 274,723.20 × 109,651.20
  4. Step 4: Simplify right side
    199,075.20x = 30,123,728,547.84
  5. Step 5: Solve for x
    x = 30,123,728,547.84/199,075.20
  6. Step 6: Final answer
    x = 151,318.34

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1.5x scale

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.