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Finding the Fourth Proportional to 454,093.88, 681,133.48 and 154,782.84

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Solution

The fourth proportional to 454,093.88, 681,133.48 and 154,782.84 is: 232,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,093.88 : 681,133.48 = 154,782.84 : x
  2. Step 2: Convert to fraction form
    454,093.88/681,133.48 = 154,782.84/x
  3. Step 3: Cross multiply
    454,093.88x = 681,133.48 × 154,782.84
  4. Step 4: Simplify right side
    454,093.88x = 105,427,774,453.48
  5. Step 5: Solve for x
    x = 105,427,774,453.48/454,093.88
  6. Step 6: Final answer
    x = 232,171.76

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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.