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Finding the Fourth Proportional to 202,322.88, 303,523.38 and 77,654.16

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Solution

The fourth proportional to 202,322.88, 303,523.38 and 77,654.16 is: 116,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,322.88 : 303,523.38 = 77,654.16 : x
  2. Step 2: Convert to fraction form
    202,322.88/303,523.38 = 77,654.16/x
  3. Step 3: Cross multiply
    202,322.88x = 303,523.38 × 77,654.16
  4. Step 4: Simplify right side
    202,322.88x = 23,569,853,114.26
  5. Step 5: Solve for x
    x = 23,569,853,114.26/202,322.88
  6. Step 6: Final answer
    x = 116,496.23

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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.