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Finding the Fourth Proportional to 270,184, 405,276 and 73,192

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Solution

The fourth proportional to 270,184, 405,276 and 73,192 is: 109,788

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,184 : 405,276 = 73,192 : x
  2. Step 2: Convert to fraction form
    270,184/405,276 = 73,192/x
  3. Step 3: Cross multiply
    270,184x = 405,276 × 73,192
  4. Step 4: Simplify right side
    270,184x = 29,662,960,992
  5. Step 5: Solve for x
    x = 29,662,960,992/270,184
  6. Step 6: Final answer
    x = 109,788

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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.