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Finding the Fourth Proportional to 216,525.83, 323,119.46 and 190,287.09

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Solution

The fourth proportional to 216,525.83, 323,119.46 and 190,287.09 is: 283,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,525.83 : 323,119.46 = 190,287.09 : x
  2. Step 2: Convert to fraction form
    216,525.83/323,119.46 = 190,287.09/x
  3. Step 3: Cross multiply
    216,525.83x = 323,119.46 × 190,287.09
  4. Step 4: Simplify right side
    216,525.83x = 61,485,462,241.49
  5. Step 5: Solve for x
    x = 61,485,462,241.49/216,525.83
  6. Step 6: Final answer
    x = 283,963.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.