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Finding the Fourth Proportional to 150,866.10, 208,194.36 and 82,881.61

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Solution

The fourth proportional to 150,866.10, 208,194.36 and 82,881.61 is: 114,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,866.10 : 208,194.36 = 82,881.61 : x
  2. Step 2: Convert to fraction form
    150,866.10/208,194.36 = 82,881.61/x
  3. Step 3: Cross multiply
    150,866.10x = 208,194.36 × 82,881.61
  4. Step 4: Simplify right side
    150,866.10x = 17,255,483,749.72
  5. Step 5: Solve for x
    x = 17,255,483,749.72/150,866.10
  6. Step 6: Final answer
    x = 114,376.15

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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.