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Finding the Fourth Proportional to 120,925.42, 166,864.40 and 67,201.76

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Solution

The fourth proportional to 120,925.42, 166,864.40 and 67,201.76 is: 92,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,925.42 : 166,864.40 = 67,201.76 : x
  2. Step 2: Convert to fraction form
    120,925.42/166,864.40 = 67,201.76/x
  3. Step 3: Cross multiply
    120,925.42x = 166,864.40 × 67,201.76
  4. Step 4: Simplify right side
    120,925.42x = 11,213,581,361.34
  5. Step 5: Solve for x
    x = 11,213,581,361.34/120,925.42
  6. Step 6: Final answer
    x = 92,731.38

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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.