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Finding the Fourth Proportional to 202,022, 303,076.75 and 77,363

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Solution

The fourth proportional to 202,022, 303,076.75 and 77,363 is: 116,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,022 : 303,076.75 = 77,363 : x
  2. Step 2: Convert to fraction form
    202,022/303,076.75 = 77,363/x
  3. Step 3: Cross multiply
    202,022x = 303,076.75 × 77,363
  4. Step 4: Simplify right side
    202,022x = 23,446,926,610.25
  5. Step 5: Solve for x
    x = 23,446,926,610.25/202,022
  6. Step 6: Final answer
    x = 116,061.25

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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.