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Finding the Fourth Proportional to 167,282, 230,893.40 and 103,583.60

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Solution

The fourth proportional to 167,282, 230,893.40 and 103,583.60 is: 142,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,282 : 230,893.40 = 103,583.60 : x
  2. Step 2: Convert to fraction form
    167,282/230,893.40 = 103,583.60/x
  3. Step 3: Cross multiply
    167,282x = 230,893.40 × 103,583.60
  4. Step 4: Simplify right side
    167,282x = 23,916,769,588.24
  5. Step 5: Solve for x
    x = 23,916,769,588.24/167,282
  6. Step 6: Final answer
    x = 142,972.76

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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.