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Finding the Fourth Proportional to 217,044.80, 325,912.80 and 147,233.60

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Solution

The fourth proportional to 217,044.80, 325,912.80 and 147,233.60 is: 221,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,044.80 : 325,912.80 = 147,233.60 : x
  2. Step 2: Convert to fraction form
    217,044.80/325,912.80 = 147,233.60/x
  3. Step 3: Cross multiply
    217,044.80x = 325,912.80 × 147,233.60
  4. Step 4: Simplify right side
    217,044.80x = 47,985,314,830.08
  5. Step 5: Solve for x
    x = 47,985,314,830.08/217,044.80
  6. Step 6: Final answer
    x = 221,084.84

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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.