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Finding the Fourth Proportional to 119,626.40, 164,857.41 and 85,575.84

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Solution

The fourth proportional to 119,626.40, 164,857.41 and 85,575.84 is: 117,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,626.40 : 164,857.41 = 85,575.84 : x
  2. Step 2: Convert to fraction form
    119,626.40/164,857.41 = 85,575.84/x
  3. Step 3: Cross multiply
    119,626.40x = 164,857.41 × 85,575.84
  4. Step 4: Simplify right side
    119,626.40x = 14,107,811,650.08
  5. Step 5: Solve for x
    x = 14,107,811,650.08/119,626.40
  6. Step 6: Final answer
    x = 117,932.26

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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.