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Finding the Fourth Proportional to 196,181.88, 294,239.88 and 55,907.16

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Solution

The fourth proportional to 196,181.88, 294,239.88 and 55,907.16 is: 83,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,181.88 : 294,239.88 = 55,907.16 : x
  2. Step 2: Convert to fraction form
    196,181.88/294,239.88 = 55,907.16/x
  3. Step 3: Cross multiply
    196,181.88x = 294,239.88 × 55,907.16
  4. Step 4: Simplify right side
    196,181.88x = 16,450,116,049.54
  5. Step 5: Solve for x
    x = 16,450,116,049.54/196,181.88
  6. Step 6: Final answer
    x = 83,851.35

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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.