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Finding the Fourth Proportional to 202,284, 303,440.58 and 77,625

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Solution

The fourth proportional to 202,284, 303,440.58 and 77,625 is: 116,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,284 : 303,440.58 = 77,625 : x
  2. Step 2: Convert to fraction form
    202,284/303,440.58 = 77,625/x
  3. Step 3: Cross multiply
    202,284x = 303,440.58 × 77,625
  4. Step 4: Simplify right side
    202,284x = 23,554,575,022.50
  5. Step 5: Solve for x
    x = 23,554,575,022.50/202,284
  6. Step 6: Final answer
    x = 116,443.09

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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.