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Finding the Fourth Proportional to 140,606.41, 194,030.62 and 76,946.89

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Solution

The fourth proportional to 140,606.41, 194,030.62 and 76,946.89 is: 106,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,606.41 : 194,030.62 = 76,946.89 : x
  2. Step 2: Convert to fraction form
    140,606.41/194,030.62 = 76,946.89/x
  3. Step 3: Cross multiply
    140,606.41x = 194,030.62 × 76,946.89
  4. Step 4: Simplify right side
    140,606.41x = 14,930,052,773.77
  5. Step 5: Solve for x
    x = 14,930,052,773.77/140,606.41
  6. Step 6: Final answer
    x = 106,183.30

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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.