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Finding the Fourth Proportional to 168,986.01, 233,200.90 and 105,323.75

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Solution

The fourth proportional to 168,986.01, 233,200.90 and 105,323.75 is: 145,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,986.01 : 233,200.90 = 105,323.75 : x
  2. Step 2: Convert to fraction form
    168,986.01/233,200.90 = 105,323.75/x
  3. Step 3: Cross multiply
    168,986.01x = 233,200.90 × 105,323.75
  4. Step 4: Simplify right side
    168,986.01x = 24,561,593,291.38
  5. Step 5: Solve for x
    x = 24,561,593,291.38/168,986.01
  6. Step 6: Final answer
    x = 145,346.90

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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.