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Finding the Fourth Proportional to 199,405.80, 299,283.66 and 110,759.40

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Solution

The fourth proportional to 199,405.80, 299,283.66 and 110,759.40 is: 166,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,405.80 : 299,283.66 = 110,759.40 : x
  2. Step 2: Convert to fraction form
    199,405.80/299,283.66 = 110,759.40/x
  3. Step 3: Cross multiply
    199,405.80x = 299,283.66 × 110,759.40
  4. Step 4: Simplify right side
    199,405.80x = 33,148,478,611.40
  5. Step 5: Solve for x
    x = 33,148,478,611.40/199,405.80
  6. Step 6: Final answer
    x = 166,236.28

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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.