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Finding the Fourth Proportional to 150,881.44, 208,219.88 and 82,902.66

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Solution

The fourth proportional to 150,881.44, 208,219.88 and 82,902.66 is: 114,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,881.44 : 208,219.88 = 82,902.66 : x
  2. Step 2: Convert to fraction form
    150,881.44/208,219.88 = 82,902.66/x
  3. Step 3: Cross multiply
    150,881.44x = 208,219.88 × 82,902.66
  4. Step 4: Simplify right side
    150,881.44x = 17,261,981,916.88
  5. Step 5: Solve for x
    x = 17,261,981,916.88/150,881.44
  6. Step 6: Final answer
    x = 114,407.59

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1.5x scale

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.