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Finding the Fourth Proportional to 229,102.40, 343,653.60 and 199,577.90

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Solution

The fourth proportional to 229,102.40, 343,653.60 and 199,577.90 is: 299,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,102.40 : 343,653.60 = 199,577.90 : x
  2. Step 2: Convert to fraction form
    229,102.40/343,653.60 = 199,577.90/x
  3. Step 3: Cross multiply
    229,102.40x = 343,653.60 × 199,577.90
  4. Step 4: Simplify right side
    229,102.40x = 68,585,663,815.44
  5. Step 5: Solve for x
    x = 68,585,663,815.44/229,102.40
  6. Step 6: Final answer
    x = 299,366.85

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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.