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Finding the Fourth Proportional to 213,293.28, 294,342.92 and 117,797.92

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Solution

The fourth proportional to 213,293.28, 294,342.92 and 117,797.92 is: 162,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,293.28 : 294,342.92 = 117,797.92 : x
  2. Step 2: Convert to fraction form
    213,293.28/294,342.92 = 117,797.92/x
  3. Step 3: Cross multiply
    213,293.28x = 294,342.92 × 117,797.92
  4. Step 4: Simplify right side
    213,293.28x = 34,672,983,742.73
  5. Step 5: Solve for x
    x = 34,672,983,742.73/213,293.28
  6. Step 6: Final answer
    x = 162,560.13

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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.