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Finding the Fourth Proportional to 196,194.96, 270,740.88 and 111,316.68

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Solution

The fourth proportional to 196,194.96, 270,740.88 and 111,316.68 is: 153,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,194.96 : 270,740.88 = 111,316.68 : x
  2. Step 2: Convert to fraction form
    196,194.96/270,740.88 = 111,316.68/x
  3. Step 3: Cross multiply
    196,194.96x = 270,740.88 × 111,316.68
  4. Step 4: Simplify right side
    196,194.96x = 30,137,975,901.88
  5. Step 5: Solve for x
    x = 30,137,975,901.88/196,194.96
  6. Step 6: Final answer
    x = 153,612.39

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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.