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Finding the Fourth Proportional to 150,894.15, 208,232.90 and 82,911.84

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Solution

The fourth proportional to 150,894.15, 208,232.90 and 82,911.84 is: 114,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,894.15 : 208,232.90 = 82,911.84 : x
  2. Step 2: Convert to fraction form
    150,894.15/208,232.90 = 82,911.84/x
  3. Step 3: Cross multiply
    150,894.15x = 208,232.90 × 82,911.84
  4. Step 4: Simplify right side
    150,894.15x = 17,264,972,472.98
  5. Step 5: Solve for x
    x = 17,264,972,472.98/150,894.15
  6. Step 6: Final answer
    x = 114,417.77

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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.