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Finding the Fourth Proportional to 200,740.37, 301,138.09 and 116,540.06

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Solution

The fourth proportional to 200,740.37, 301,138.09 and 116,540.06 is: 174,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,740.37 : 301,138.09 = 116,540.06 : x
  2. Step 2: Convert to fraction form
    200,740.37/301,138.09 = 116,540.06/x
  3. Step 3: Cross multiply
    200,740.37x = 301,138.09 × 116,540.06
  4. Step 4: Simplify right side
    200,740.37x = 35,094,649,279.84
  5. Step 5: Solve for x
    x = 35,094,649,279.84/200,740.37
  6. Step 6: Final answer
    x = 174,826.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.