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Finding the Fourth Proportional to 213,160.83, 294,163.99 and 117,665.47

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Solution

The fourth proportional to 213,160.83, 294,163.99 and 117,665.47 is: 162,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,160.83 : 294,163.99 = 117,665.47 : x
  2. Step 2: Convert to fraction form
    213,160.83/294,163.99 = 117,665.47/x
  3. Step 3: Cross multiply
    213,160.83x = 294,163.99 × 117,665.47
  4. Step 4: Simplify right side
    213,160.83x = 34,612,944,140.43
  5. Step 5: Solve for x
    x = 34,612,944,140.43/213,160.83
  6. Step 6: Final answer
    x = 162,379.48

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1.5x scale

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.