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Finding the Fourth Proportional to 510,441.22, 765,661.83 and 136,454.50

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Solution

The fourth proportional to 510,441.22, 765,661.83 and 136,454.50 is: 204,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,441.22 : 765,661.83 = 136,454.50 : x
  2. Step 2: Convert to fraction form
    510,441.22/765,661.83 = 136,454.50/x
  3. Step 3: Cross multiply
    510,441.22x = 765,661.83 × 136,454.50
  4. Step 4: Simplify right side
    510,441.22x = 104,478,002,181.74
  5. Step 5: Solve for x
    x = 104,478,002,181.74/510,441.22
  6. Step 6: Final answer
    x = 204,681.75

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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.