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Finding the Fourth Proportional to 301,794.10, 452,403.15 and 112,203.70

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Solution

The fourth proportional to 301,794.10, 452,403.15 and 112,203.70 is: 168,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,794.10 : 452,403.15 = 112,203.70 : x
  2. Step 2: Convert to fraction form
    301,794.10/452,403.15 = 112,203.70/x
  3. Step 3: Cross multiply
    301,794.10x = 452,403.15 × 112,203.70
  4. Step 4: Simplify right side
    301,794.10x = 50,761,307,321.66
  5. Step 5: Solve for x
    x = 50,761,307,321.66/301,794.10
  6. Step 6: Final answer
    x = 168,198.47

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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.