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Finding the Fourth Proportional to 202,304.08, 303,230.04 and 75,822.64

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Solution

The fourth proportional to 202,304.08, 303,230.04 and 75,822.64 is: 113,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,304.08 : 303,230.04 = 75,822.64 : x
  2. Step 2: Convert to fraction form
    202,304.08/303,230.04 = 75,822.64/x
  3. Step 3: Cross multiply
    202,304.08x = 303,230.04 × 75,822.64
  4. Step 4: Simplify right side
    202,304.08x = 22,991,702,160.11
  5. Step 5: Solve for x
    x = 22,991,702,160.11/202,304.08
  6. Step 6: Final answer
    x = 113,649.23

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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.