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Finding the Fourth Proportional to 196,081.68, 270,582.84 and 111,206.64

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Solution

The fourth proportional to 196,081.68, 270,582.84 and 111,206.64 is: 153,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,081.68 : 270,582.84 = 111,206.64 : x
  2. Step 2: Convert to fraction form
    196,081.68/270,582.84 = 111,206.64/x
  3. Step 3: Cross multiply
    196,081.68x = 270,582.84 × 111,206.64
  4. Step 4: Simplify right side
    196,081.68x = 30,090,608,478.06
  5. Step 5: Solve for x
    x = 30,090,608,478.06/196,081.68
  6. Step 6: Final answer
    x = 153,459.56

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1.5x scale

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.