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Finding the Fourth Proportional to 202,882.99, 304,265 and 76,432

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Solution

The fourth proportional to 202,882.99, 304,265 and 76,432 is: 114,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,882.99 : 304,265 = 76,432 : x
  2. Step 2: Convert to fraction form
    202,882.99/304,265 = 76,432/x
  3. Step 3: Cross multiply
    202,882.99x = 304,265 × 76,432
  4. Step 4: Simplify right side
    202,882.99x = 23,255,582,480
  5. Step 5: Solve for x
    x = 23,255,582,480/202,882.99
  6. Step 6: Final answer
    x = 114,625.59

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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.