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Finding the Fourth Proportional to 213,037.70, 293,991.80 and 117,544.38

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Solution

The fourth proportional to 213,037.70, 293,991.80 and 117,544.38 is: 162,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,037.70 : 293,991.80 = 117,544.38 : x
  2. Step 2: Convert to fraction form
    213,037.70/293,991.80 = 117,544.38/x
  3. Step 3: Cross multiply
    213,037.70x = 293,991.80 × 117,544.38
  4. Step 4: Simplify right side
    213,037.70x = 34,557,083,856.08
  5. Step 5: Solve for x
    x = 34,557,083,856.08/213,037.70
  6. Step 6: Final answer
    x = 162,211.12

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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.