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Finding the Fourth Proportional to 119,106.37, 164,354.56 and 71,358.49

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Solution

The fourth proportional to 119,106.37, 164,354.56 and 71,358.49 is: 98,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,106.37 : 164,354.56 = 71,358.49 : x
  2. Step 2: Convert to fraction form
    119,106.37/164,354.56 = 71,358.49/x
  3. Step 3: Cross multiply
    119,106.37x = 164,354.56 × 71,358.49
  4. Step 4: Simplify right side
    119,106.37x = 11,728,093,226.21
  5. Step 5: Solve for x
    x = 11,728,093,226.21/119,106.37
  6. Step 6: Final answer
    x = 98,467.39

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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.