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Finding the Fourth Proportional to 451,684.89, 677,526.80 and 136,141.76

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Solution

The fourth proportional to 451,684.89, 677,526.80 and 136,141.76 is: 204,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,684.89 : 677,526.80 = 136,141.76 : x
  2. Step 2: Convert to fraction form
    451,684.89/677,526.80 = 136,141.76/x
  3. Step 3: Cross multiply
    451,684.89x = 677,526.80 × 136,141.76
  4. Step 4: Simplify right side
    451,684.89x = 92,239,692,012.28
  5. Step 5: Solve for x
    x = 92,239,692,012.28/451,684.89
  6. Step 6: Final answer
    x = 204,212.48

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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.