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Finding the Fourth Proportional to 196,366.23, 270,989.01 and 109,159.54

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Solution

The fourth proportional to 196,366.23, 270,989.01 and 109,159.54 is: 150,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,366.23 : 270,989.01 = 109,159.54 : x
  2. Step 2: Convert to fraction form
    196,366.23/270,989.01 = 109,159.54/x
  3. Step 3: Cross multiply
    196,366.23x = 270,989.01 × 109,159.54
  4. Step 4: Simplify right side
    196,366.23x = 29,581,034,999.18
  5. Step 5: Solve for x
    x = 29,581,034,999.18/196,366.23
  6. Step 6: Final answer
    x = 150,642.17

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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.