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Finding the Fourth Proportional to 326,195.82, 488,830.77 and 136,451.70

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Solution

The fourth proportional to 326,195.82, 488,830.77 and 136,451.70 is: 204,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,195.82 : 488,830.77 = 136,451.70 : x
  2. Step 2: Convert to fraction form
    326,195.82/488,830.77 = 136,451.70/x
  3. Step 3: Cross multiply
    326,195.82x = 488,830.77 × 136,451.70
  4. Step 4: Simplify right side
    326,195.82x = 66,701,789,578.81
  5. Step 5: Solve for x
    x = 66,701,789,578.81/326,195.82
  6. Step 6: Final answer
    x = 204,483.89

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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.