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Finding the Fourth Proportional to 216,449.36, 324,739.73 and 104,097.69

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Solution

The fourth proportional to 216,449.36, 324,739.73 and 104,097.69 is: 156,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,449.36 : 324,739.73 = 104,097.69 : x
  2. Step 2: Convert to fraction form
    216,449.36/324,739.73 = 104,097.69/x
  3. Step 3: Cross multiply
    216,449.36x = 324,739.73 × 104,097.69
  4. Step 4: Simplify right side
    216,449.36x = 33,804,656,004.47
  5. Step 5: Solve for x
    x = 33,804,656,004.47/216,449.36
  6. Step 6: Final answer
    x = 156,178.13

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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.