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Finding the Fourth Proportional to 199,291.80, 299,112.66 and 110,645.40

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Solution

The fourth proportional to 199,291.80, 299,112.66 and 110,645.40 is: 166,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,291.80 : 299,112.66 = 110,645.40 : x
  2. Step 2: Convert to fraction form
    199,291.80/299,112.66 = 110,645.40/x
  3. Step 3: Cross multiply
    199,291.80x = 299,112.66 × 110,645.40
  4. Step 4: Simplify right side
    199,291.80x = 33,095,439,910.76
  5. Step 5: Solve for x
    x = 33,095,439,910.76/199,291.80
  6. Step 6: Final answer
    x = 166,065.24

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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.