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Finding the Fourth Proportional to 167,281.98, 230,893.38 and 103,583.58

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Solution

The fourth proportional to 167,281.98, 230,893.38 and 103,583.58 is: 142,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,281.98 : 230,893.38 = 103,583.58 : x
  2. Step 2: Convert to fraction form
    167,281.98/230,893.38 = 103,583.58/x
  3. Step 3: Cross multiply
    167,281.98x = 230,893.38 × 103,583.58
  4. Step 4: Simplify right side
    167,281.98x = 23,916,762,898.70
  5. Step 5: Solve for x
    x = 23,916,762,898.70/167,281.98
  6. Step 6: Final answer
    x = 142,972.74

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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.