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Finding the Fourth Proportional to 151,367.63, 208,893.81 and 84,299.63

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Solution

The fourth proportional to 151,367.63, 208,893.81 and 84,299.63 is: 116,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,367.63 : 208,893.81 = 84,299.63 : x
  2. Step 2: Convert to fraction form
    151,367.63/208,893.81 = 84,299.63/x
  3. Step 3: Cross multiply
    151,367.63x = 208,893.81 × 84,299.63
  4. Step 4: Simplify right side
    151,367.63x = 17,609,669,847.82
  5. Step 5: Solve for x
    x = 17,609,669,847.82/151,367.63
  6. Step 6: Final answer
    x = 116,337.10

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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.