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Finding the Fourth Proportional to 150,868.59, 208,202.31 and 82,889.96

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Solution

The fourth proportional to 150,868.59, 208,202.31 and 82,889.96 is: 114,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,868.59 : 208,202.31 = 82,889.96 : x
  2. Step 2: Convert to fraction form
    150,868.59/208,202.31 = 82,889.96/x
  3. Step 3: Cross multiply
    150,868.59x = 208,202.31 × 82,889.96
  4. Step 4: Simplify right side
    150,868.59x = 17,257,881,147.81
  5. Step 5: Solve for x
    x = 17,257,881,147.81/150,868.59
  6. Step 6: Final answer
    x = 114,390.15

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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.