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Finding the Fourth Proportional to 202,093.25, 303,339.31 and 107,323.16

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Solution

The fourth proportional to 202,093.25, 303,339.31 and 107,323.16 is: 161,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,093.25 : 303,339.31 = 107,323.16 : x
  2. Step 2: Convert to fraction form
    202,093.25/303,339.31 = 107,323.16/x
  3. Step 3: Cross multiply
    202,093.25x = 303,339.31 × 107,323.16
  4. Step 4: Simplify right side
    202,093.25x = 32,555,333,791.46
  5. Step 5: Solve for x
    x = 32,555,333,791.46/202,093.25
  6. Step 6: Final answer
    x = 161,090.65

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1.5x scale

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.