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Finding the Fourth Proportional to 196,354.80, 270,970.92 and 111,473.28

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Solution

The fourth proportional to 196,354.80, 270,970.92 and 111,473.28 is: 153,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,354.80 : 270,970.92 = 111,473.28 : x
  2. Step 2: Convert to fraction form
    196,354.80/270,970.92 = 111,473.28/x
  3. Step 3: Cross multiply
    196,354.80x = 270,970.92 × 111,473.28
  4. Step 4: Simplify right side
    196,354.80x = 30,206,017,237.02
  5. Step 5: Solve for x
    x = 30,206,017,237.02/196,354.80
  6. Step 6: Final answer
    x = 153,833.86

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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.