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Finding the Fourth Proportional to 166,274.37, 229,534.16 and 105,927.75

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Solution

The fourth proportional to 166,274.37, 229,534.16 and 105,927.75 is: 146,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,274.37 : 229,534.16 = 105,927.75 : x
  2. Step 2: Convert to fraction form
    166,274.37/229,534.16 = 105,927.75/x
  3. Step 3: Cross multiply
    166,274.37x = 229,534.16 × 105,927.75
  4. Step 4: Simplify right side
    166,274.37x = 24,314,036,587.30
  5. Step 5: Solve for x
    x = 24,314,036,587.30/166,274.37
  6. Step 6: Final answer
    x = 146,228.41

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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.