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Finding the Fourth Proportional to 151,367, 208,892.94 and 84,299

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Solution

The fourth proportional to 151,367, 208,892.94 and 84,299 is: 116,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,367 : 208,892.94 = 84,299 : x
  2. Step 2: Convert to fraction form
    151,367/208,892.94 = 84,299/x
  3. Step 3: Cross multiply
    151,367x = 208,892.94 × 84,299
  4. Step 4: Simplify right side
    151,367x = 17,609,465,949.06
  5. Step 5: Solve for x
    x = 17,609,465,949.06/151,367
  6. Step 6: Final answer
    x = 116,336.23

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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.