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Finding the Fourth Proportional to 202,369.13, 303,568.41 and 77,710.13

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Solution

The fourth proportional to 202,369.13, 303,568.41 and 77,710.13 is: 116,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,369.13 : 303,568.41 = 77,710.13 : x
  2. Step 2: Convert to fraction form
    202,369.13/303,568.41 = 77,710.13/x
  3. Step 3: Cross multiply
    202,369.13x = 303,568.41 × 77,710.13
  4. Step 4: Simplify right side
    202,369.13x = 23,590,339,087.15
  5. Step 5: Solve for x
    x = 23,590,339,087.15/202,369.13
  6. Step 6: Final answer
    x = 116,570.84

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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.