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Finding the Fourth Proportional to 166,434.80, 229,615.48 and 105,994.63

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Solution

The fourth proportional to 166,434.80, 229,615.48 and 105,994.63 is: 146,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,434.80 : 229,615.48 = 105,994.63 : x
  2. Step 2: Convert to fraction form
    166,434.80/229,615.48 = 105,994.63/x
  3. Step 3: Cross multiply
    166,434.80x = 229,615.48 × 105,994.63
  4. Step 4: Simplify right side
    166,434.80x = 24,338,007,270.91
  5. Step 5: Solve for x
    x = 24,338,007,270.91/166,434.80
  6. Step 6: Final answer
    x = 146,231.48

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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.