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Finding the Fourth Proportional to 119,012.21, 164,231.40 and 65,296.11

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Solution

The fourth proportional to 119,012.21, 164,231.40 and 65,296.11 is: 90,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,012.21 : 164,231.40 = 65,296.11 : x
  2. Step 2: Convert to fraction form
    119,012.21/164,231.40 = 65,296.11/x
  3. Step 3: Cross multiply
    119,012.21x = 164,231.40 × 65,296.11
  4. Step 4: Simplify right side
    119,012.21x = 10,723,671,233.37
  5. Step 5: Solve for x
    x = 10,723,671,233.37/119,012.21
  6. Step 6: Final answer
    x = 90,105.64

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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.