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Finding the Fourth Proportional to 199,762.58, 275,673.30 and 109,119.80

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Solution

The fourth proportional to 199,762.58, 275,673.30 and 109,119.80 is: 150,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,762.58 : 275,673.30 = 109,119.80 : x
  2. Step 2: Convert to fraction form
    199,762.58/275,673.30 = 109,119.80/x
  3. Step 3: Cross multiply
    199,762.58x = 275,673.30 × 109,119.80
  4. Step 4: Simplify right side
    199,762.58x = 30,081,415,361.34
  5. Step 5: Solve for x
    x = 30,081,415,361.34/199,762.58
  6. Step 6: Final answer
    x = 150,585.84

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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.