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Finding the Fourth Proportional to 183,758.94, 275,269.35 and 83,781.60

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Solution

The fourth proportional to 183,758.94, 275,269.35 and 83,781.60 is: 125,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,758.94 : 275,269.35 = 83,781.60 : x
  2. Step 2: Convert to fraction form
    183,758.94/275,269.35 = 83,781.60/x
  3. Step 3: Cross multiply
    183,758.94x = 275,269.35 × 83,781.60
  4. Step 4: Simplify right side
    183,758.94x = 23,062,507,606.22
  5. Step 5: Solve for x
    x = 23,062,507,606.22/183,758.94
  6. Step 6: Final answer
    x = 125,504.14

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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.