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Finding the Fourth Proportional to 150,974.51, 208,347.41 and 82,994.34

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Solution

The fourth proportional to 150,974.51, 208,347.41 and 82,994.34 is: 114,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,974.51 : 208,347.41 = 82,994.34 : x
  2. Step 2: Convert to fraction form
    150,974.51/208,347.41 = 82,994.34/x
  3. Step 3: Cross multiply
    150,974.51x = 208,347.41 × 82,994.34
  4. Step 4: Simplify right side
    150,974.51x = 17,291,655,368.69
  5. Step 5: Solve for x
    x = 17,291,655,368.69/150,974.51
  6. Step 6: Final answer
    x = 114,533.61

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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.