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Finding the Fourth Proportional to 270,998.30, 406,333.28 and 121,210.68

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Solution

The fourth proportional to 270,998.30, 406,333.28 and 121,210.68 is: 181,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,998.30 : 406,333.28 = 121,210.68 : x
  2. Step 2: Convert to fraction form
    270,998.30/406,333.28 = 121,210.68/x
  3. Step 3: Cross multiply
    270,998.30x = 406,333.28 × 121,210.68
  4. Step 4: Simplify right side
    270,998.30x = 49,251,933,175.43
  5. Step 5: Solve for x
    x = 49,251,933,175.43/270,998.30
  6. Step 6: Final answer
    x = 181,742.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.