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Finding the Fourth Proportional to 133,986.66, 200,684.75 and 74,675.22

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Solution

The fourth proportional to 133,986.66, 200,684.75 and 74,675.22 is: 111,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986.66 : 200,684.75 = 74,675.22 : x
  2. Step 2: Convert to fraction form
    133,986.66/200,684.75 = 74,675.22/x
  3. Step 3: Cross multiply
    133,986.66x = 200,684.75 × 74,675.22
  4. Step 4: Simplify right side
    133,986.66x = 14,986,177,483.52
  5. Step 5: Solve for x
    x = 14,986,177,483.52/133,986.66
  6. Step 6: Final answer
    x = 111,848.28

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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.