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Finding the Fourth Proportional to 270,313, 405,653.82 and 95,209

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Solution

The fourth proportional to 270,313, 405,653.82 and 95,209 is: 142,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,313 : 405,653.82 = 95,209 : x
  2. Step 2: Convert to fraction form
    270,313/405,653.82 = 95,209/x
  3. Step 3: Cross multiply
    270,313x = 405,653.82 × 95,209
  4. Step 4: Simplify right side
    270,313x = 38,621,894,548.38
  5. Step 5: Solve for x
    x = 38,621,894,548.38/270,313
  6. Step 6: Final answer
    x = 142,878.42

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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.