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Finding the Fourth Proportional to 166,797.56, 230,221.20 and 103,097

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Solution

The fourth proportional to 166,797.56, 230,221.20 and 103,097 is: 142,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,797.56 : 230,221.20 = 103,097 : x
  2. Step 2: Convert to fraction form
    166,797.56/230,221.20 = 103,097/x
  3. Step 3: Cross multiply
    166,797.56x = 230,221.20 × 103,097
  4. Step 4: Simplify right side
    166,797.56x = 23,735,115,056.40
  5. Step 5: Solve for x
    x = 23,735,115,056.40/166,797.56
  6. Step 6: Final answer
    x = 142,298.93

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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.