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Finding the Fourth Proportional to 166,756.84, 230,078.82 and 107,175.40

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Solution

The fourth proportional to 166,756.84, 230,078.82 and 107,175.40 is: 147,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,756.84 : 230,078.82 = 107,175.40 : x
  2. Step 2: Convert to fraction form
    166,756.84/230,078.82 = 107,175.40/x
  3. Step 3: Cross multiply
    166,756.84x = 230,078.82 × 107,175.40
  4. Step 4: Simplify right side
    166,756.84x = 24,658,789,565.03
  5. Step 5: Solve for x
    x = 24,658,789,565.03/166,756.84
  6. Step 6: Final answer
    x = 147,872.73

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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.