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Finding the Fourth Proportional to 270,601.42, 405,941.01 and 83,627.50

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Solution

The fourth proportional to 270,601.42, 405,941.01 and 83,627.50 is: 125,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,601.42 : 405,941.01 = 83,627.50 : x
  2. Step 2: Convert to fraction form
    270,601.42/405,941.01 = 83,627.50/x
  3. Step 3: Cross multiply
    270,601.42x = 405,941.01 × 83,627.50
  4. Step 4: Simplify right side
    270,601.42x = 33,947,831,813.78
  5. Step 5: Solve for x
    x = 33,947,831,813.78/270,601.42
  6. Step 6: Final answer
    x = 125,453.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.