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Finding the Fourth Proportional to 150,977.70, 208,344.69 and 82,994.58

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Solution

The fourth proportional to 150,977.70, 208,344.69 and 82,994.58 is: 114,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,977.70 : 208,344.69 = 82,994.58 : x
  2. Step 2: Convert to fraction form
    150,977.70/208,344.69 = 82,994.58/x
  3. Step 3: Cross multiply
    150,977.70x = 208,344.69 × 82,994.58
  4. Step 4: Simplify right side
    150,977.70x = 17,291,480,041.78
  5. Step 5: Solve for x
    x = 17,291,480,041.78/150,977.70
  6. Step 6: Final answer
    x = 114,530.03

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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.