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Finding the Fourth Proportional to 202,200.94, 279,053.13 and 111,574.90

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Solution

The fourth proportional to 202,200.94, 279,053.13 and 111,574.90 is: 153,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,200.94 : 279,053.13 = 111,574.90 : x
  2. Step 2: Convert to fraction form
    202,200.94/279,053.13 = 111,574.90/x
  3. Step 3: Cross multiply
    202,200.94x = 279,053.13 × 111,574.90
  4. Step 4: Simplify right side
    202,200.94x = 31,135,325,074.44
  5. Step 5: Solve for x
    x = 31,135,325,074.44/202,200.94
  6. Step 6: Final answer
    x = 153,982.10

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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.