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Finding the Fourth Proportional to 202,315.20, 283,656 and 202,315.20

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Solution

The fourth proportional to 202,315.20, 283,656 and 202,315.20 is: 283,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,315.20 : 283,656 = 202,315.20 : x
  2. Step 2: Convert to fraction form
    202,315.20/283,656 = 202,315.20/x
  3. Step 3: Cross multiply
    202,315.20x = 283,656 × 202,315.20
  4. Step 4: Simplify right side
    202,315.20x = 57,387,920,371.20
  5. Step 5: Solve for x
    x = 57,387,920,371.20/202,315.20
  6. Step 6: Final answer
    x = 283,656

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.