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Finding the Fourth Proportional to 164,097.40, 245,997.60 and 114,201.40

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Solution

The fourth proportional to 164,097.40, 245,997.60 and 114,201.40 is: 171,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,097.40 : 245,997.60 = 114,201.40 : x
  2. Step 2: Convert to fraction form
    164,097.40/245,997.60 = 114,201.40/x
  3. Step 3: Cross multiply
    164,097.40x = 245,997.60 × 114,201.40
  4. Step 4: Simplify right side
    164,097.40x = 28,093,270,316.64
  5. Step 5: Solve for x
    x = 28,093,270,316.64/164,097.40
  6. Step 6: Final answer
    x = 171,198.75

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1.5x scale

Why These Related Problems?

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