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Finding the Fourth Proportional to 218,852.82, 328,314.36 and 92,494.32

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Solution

The fourth proportional to 218,852.82, 328,314.36 and 92,494.32 is: 138,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,852.82 : 328,314.36 = 92,494.32 : x
  2. Step 2: Convert to fraction form
    218,852.82/328,314.36 = 92,494.32/x
  3. Step 3: Cross multiply
    218,852.82x = 328,314.36 × 92,494.32
  4. Step 4: Simplify right side
    218,852.82x = 30,367,213,474.44
  5. Step 5: Solve for x
    x = 30,367,213,474.44/218,852.82
  6. Step 6: Final answer
    x = 138,756.33

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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.