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Finding the Fourth Proportional to 168,986.25, 233,201.24 and 105,324

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Solution

The fourth proportional to 168,986.25, 233,201.24 and 105,324 is: 145,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,986.25 : 233,201.24 = 105,324 : x
  2. Step 2: Convert to fraction form
    168,986.25/233,201.24 = 105,324/x
  3. Step 3: Cross multiply
    168,986.25x = 233,201.24 × 105,324
  4. Step 4: Simplify right side
    168,986.25x = 24,561,686,875.14
  5. Step 5: Solve for x
    x = 24,561,686,875.14/168,986.25
  6. Step 6: Final answer
    x = 145,347.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.