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Finding the Fourth Proportional to 451,762.29, 677,648.70 and 136,221.93

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Solution

The fourth proportional to 451,762.29, 677,648.70 and 136,221.93 is: 204,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,762.29 : 677,648.70 = 136,221.93 : x
  2. Step 2: Convert to fraction form
    451,762.29/677,648.70 = 136,221.93/x
  3. Step 3: Cross multiply
    451,762.29x = 677,648.70 × 136,221.93
  4. Step 4: Simplify right side
    451,762.29x = 92,310,613,775.99
  5. Step 5: Solve for x
    x = 92,310,613,775.99/451,762.29
  6. Step 6: Final answer
    x = 204,334.48

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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.