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Finding the Fourth Proportional to 120,904.34, 166,672.14 and 84,492.74

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Solution

The fourth proportional to 120,904.34, 166,672.14 and 84,492.74 is: 116,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,904.34 : 166,672.14 = 84,492.74 : x
  2. Step 2: Convert to fraction form
    120,904.34/166,672.14 = 84,492.74/x
  3. Step 3: Cross multiply
    120,904.34x = 166,672.14 × 84,492.74
  4. Step 4: Simplify right side
    120,904.34x = 14,082,585,790.26
  5. Step 5: Solve for x
    x = 14,082,585,790.26/120,904.34
  6. Step 6: Final answer
    x = 116,477.09

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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.