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Finding the Fourth Proportional to 270,843.26, 406,043.23 and 102,267.93

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Solution

The fourth proportional to 270,843.26, 406,043.23 and 102,267.93 is: 153,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,843.26 : 406,043.23 = 102,267.93 : x
  2. Step 2: Convert to fraction form
    270,843.26/406,043.23 = 102,267.93/x
  3. Step 3: Cross multiply
    270,843.26x = 406,043.23 × 102,267.93
  4. Step 4: Simplify right side
    270,843.26x = 41,525,202,081.36
  5. Step 5: Solve for x
    x = 41,525,202,081.36/270,843.26
  6. Step 6: Final answer
    x = 153,318.20

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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.