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Finding the Fourth Proportional to 451,855.74, 677,784.48 and 136,312.95

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Solution

The fourth proportional to 451,855.74, 677,784.48 and 136,312.95 is: 204,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,855.74 : 677,784.48 = 136,312.95 : x
  2. Step 2: Convert to fraction form
    451,855.74/677,784.48 = 136,312.95/x
  3. Step 3: Cross multiply
    451,855.74x = 677,784.48 × 136,312.95
  4. Step 4: Simplify right side
    451,855.74x = 92,390,801,933.02
  5. Step 5: Solve for x
    x = 92,390,801,933.02/451,855.74
  6. Step 6: Final answer
    x = 204,469.69

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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.