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Finding the Fourth Proportional to 216,197.97, 298,267.38 and 144,464.37

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Solution

The fourth proportional to 216,197.97, 298,267.38 and 144,464.37 is: 199,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,197.97 : 298,267.38 = 144,464.37 : x
  2. Step 2: Convert to fraction form
    216,197.97/298,267.38 = 144,464.37/x
  3. Step 3: Cross multiply
    216,197.97x = 298,267.38 × 144,464.37
  4. Step 4: Simplify right side
    216,197.97x = 43,089,009,143.25
  5. Step 5: Solve for x
    x = 43,089,009,143.25/216,197.97
  6. Step 6: Final answer
    x = 199,303.49

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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.