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Finding the Fourth Proportional to 119,198.76, 164,421.32 and 70,767.82

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Solution

The fourth proportional to 119,198.76, 164,421.32 and 70,767.82 is: 97,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,198.76 : 164,421.32 = 70,767.82 : x
  2. Step 2: Convert to fraction form
    119,198.76/164,421.32 = 70,767.82/x
  3. Step 3: Cross multiply
    119,198.76x = 164,421.32 × 70,767.82
  4. Step 4: Simplify right side
    119,198.76x = 11,635,738,377.92
  5. Step 5: Solve for x
    x = 11,635,738,377.92/119,198.76
  6. Step 6: Final answer
    x = 97,616.27

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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.