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Finding the Fourth Proportional to 166,982, 230,435.97 and 99,914

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Solution

The fourth proportional to 166,982, 230,435.97 and 99,914 is: 137,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,982 : 230,435.97 = 99,914 : x
  2. Step 2: Convert to fraction form
    166,982/230,435.97 = 99,914/x
  3. Step 3: Cross multiply
    166,982x = 230,435.97 × 99,914
  4. Step 4: Simplify right side
    166,982x = 23,023,779,506.58
  5. Step 5: Solve for x
    x = 23,023,779,506.58/166,982
  6. Step 6: Final answer
    x = 137,881.80

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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.