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Finding the Fourth Proportional to 218,599.74, 327,653.46 and 111,684.60

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Solution

The fourth proportional to 218,599.74, 327,653.46 and 111,684.60 is: 167,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,599.74 : 327,653.46 = 111,684.60 : x
  2. Step 2: Convert to fraction form
    218,599.74/327,653.46 = 111,684.60/x
  3. Step 3: Cross multiply
    218,599.74x = 327,653.46 × 111,684.60
  4. Step 4: Simplify right side
    218,599.74x = 36,593,845,618.72
  5. Step 5: Solve for x
    x = 36,593,845,618.72/218,599.74
  6. Step 6: Final answer
    x = 167,401.14

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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.