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Finding the Fourth Proportional to 151,396.26, 208,936.17 and 84,328.26

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Solution

The fourth proportional to 151,396.26, 208,936.17 and 84,328.26 is: 116,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,396.26 : 208,936.17 = 84,328.26 : x
  2. Step 2: Convert to fraction form
    151,396.26/208,936.17 = 84,328.26/x
  3. Step 3: Cross multiply
    151,396.26x = 208,936.17 × 84,328.26
  4. Step 4: Simplify right side
    151,396.26x = 17,619,223,667.16
  5. Step 5: Solve for x
    x = 17,619,223,667.16/151,396.26
  6. Step 6: Final answer
    x = 116,378.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.