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Finding the Fourth Proportional to 510,642, 765,963 and 136,655.28

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Solution

The fourth proportional to 510,642, 765,963 and 136,655.28 is: 204,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,642 : 765,963 = 136,655.28 : x
  2. Step 2: Convert to fraction form
    510,642/765,963 = 136,655.28/x
  3. Step 3: Cross multiply
    510,642x = 765,963 × 136,655.28
  4. Step 4: Simplify right side
    510,642x = 104,672,888,234.64
  5. Step 5: Solve for x
    x = 104,672,888,234.64/510,642
  6. Step 6: Final answer
    x = 204,982.92

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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.