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Finding the Fourth Proportional to 270,964.92, 406,460.28 and 130,841.40

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Solution

The fourth proportional to 270,964.92, 406,460.28 and 130,841.40 is: 196,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,964.92 : 406,460.28 = 130,841.40 : x
  2. Step 2: Convert to fraction form
    270,964.92/406,460.28 = 130,841.40/x
  3. Step 3: Cross multiply
    270,964.92x = 406,460.28 × 130,841.40
  4. Step 4: Simplify right side
    270,964.92x = 53,181,832,079.59
  5. Step 5: Solve for x
    x = 53,181,832,079.59/270,964.92
  6. Step 6: Final answer
    x = 196,268.33

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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.