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Finding the Fourth Proportional to 150,974.30, 208,347.14 and 82,994.14

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Solution

The fourth proportional to 150,974.30, 208,347.14 and 82,994.14 is: 114,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,974.30 : 208,347.14 = 82,994.14 : x
  2. Step 2: Convert to fraction form
    150,974.30/208,347.14 = 82,994.14/x
  3. Step 3: Cross multiply
    150,974.30x = 208,347.14 × 82,994.14
  4. Step 4: Simplify right side
    150,974.30x = 17,291,591,705.76
  5. Step 5: Solve for x
    x = 17,291,591,705.76/150,974.30
  6. Step 6: Final answer
    x = 114,533.35

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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.