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Finding the Fourth Proportional to 166,644, 229,968.72 and 91,192.50

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Solution

The fourth proportional to 166,644, 229,968.72 and 91,192.50 is: 125,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,644 : 229,968.72 = 91,192.50 : x
  2. Step 2: Convert to fraction form
    166,644/229,968.72 = 91,192.50/x
  3. Step 3: Cross multiply
    166,644x = 229,968.72 × 91,192.50
  4. Step 4: Simplify right side
    166,644x = 20,971,422,498.60
  5. Step 5: Solve for x
    x = 20,971,422,498.60/166,644
  6. Step 6: Final answer
    x = 125,845.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.