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Finding the Fourth Proportional to 149,202.21, 205,916.63 and 83,801.82

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Solution

The fourth proportional to 149,202.21, 205,916.63 and 83,801.82 is: 115,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,202.21 : 205,916.63 = 83,801.82 : x
  2. Step 2: Convert to fraction form
    149,202.21/205,916.63 = 83,801.82/x
  3. Step 3: Cross multiply
    149,202.21x = 205,916.63 × 83,801.82
  4. Step 4: Simplify right side
    149,202.21x = 17,256,188,362.27
  5. Step 5: Solve for x
    x = 17,256,188,362.27/149,202.21
  6. Step 6: Final answer
    x = 115,656.39

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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.