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Finding the Fourth Proportional to 196,354.72, 270,977.16 and 111,479.68

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Solution

The fourth proportional to 196,354.72, 270,977.16 and 111,479.68 is: 153,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,354.72 : 270,977.16 = 111,479.68 : x
  2. Step 2: Convert to fraction form
    196,354.72/270,977.16 = 111,479.68/x
  3. Step 3: Cross multiply
    196,354.72x = 270,977.16 × 111,479.68
  4. Step 4: Simplify right side
    196,354.72x = 30,208,447,084.11
  5. Step 5: Solve for x
    x = 30,208,447,084.11/196,354.72
  6. Step 6: Final answer
    x = 153,846.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.