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Finding the Fourth Proportional to 330,102, 455,546.16 and 179,199

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Solution

The fourth proportional to 330,102, 455,546.16 and 179,199 is: 247,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,102 : 455,546.16 = 179,199 : x
  2. Step 2: Convert to fraction form
    330,102/455,546.16 = 179,199/x
  3. Step 3: Cross multiply
    330,102x = 455,546.16 × 179,199
  4. Step 4: Simplify right side
    330,102x = 81,633,416,325.84
  5. Step 5: Solve for x
    x = 81,633,416,325.84/330,102
  6. Step 6: Final answer
    x = 247,297.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.