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Finding the Fourth Proportional to 213,584, 294,745.92 and 119,376

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Solution

The fourth proportional to 213,584, 294,745.92 and 119,376 is: 164,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,584 : 294,745.92 = 119,376 : x
  2. Step 2: Convert to fraction form
    213,584/294,745.92 = 119,376/x
  3. Step 3: Cross multiply
    213,584x = 294,745.92 × 119,376
  4. Step 4: Simplify right side
    213,584x = 35,185,588,945.92
  5. Step 5: Solve for x
    x = 35,185,588,945.92/213,584
  6. Step 6: Final answer
    x = 164,738.88

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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.