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Finding the Fourth Proportional to 213,037.46, 293,991.45 and 117,544.14

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Solution

The fourth proportional to 213,037.46, 293,991.45 and 117,544.14 is: 162,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,037.46 : 293,991.45 = 117,544.14 : x
  2. Step 2: Convert to fraction form
    213,037.46/293,991.45 = 117,544.14/x
  3. Step 3: Cross multiply
    213,037.46x = 293,991.45 × 117,544.14
  4. Step 4: Simplify right side
    213,037.46x = 34,556,972,157.60
  5. Step 5: Solve for x
    x = 34,556,972,157.60/213,037.46
  6. Step 6: Final answer
    x = 162,210.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.