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Finding the Fourth Proportional to 120,821.14, 166,675.32 and 85,031.02

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Solution

The fourth proportional to 120,821.14, 166,675.32 and 85,031.02 is: 117,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,821.14 : 166,675.32 = 85,031.02 : x
  2. Step 2: Convert to fraction form
    120,821.14/166,675.32 = 85,031.02/x
  3. Step 3: Cross multiply
    120,821.14x = 166,675.32 × 85,031.02
  4. Step 4: Simplify right side
    120,821.14x = 14,172,572,468.43
  5. Step 5: Solve for x
    x = 14,172,572,468.43/120,821.14
  6. Step 6: Final answer
    x = 117,302.09

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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.