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Finding the Fourth Proportional to 197,134.40, 295,442.40 and 174,843.20

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Solution

The fourth proportional to 197,134.40, 295,442.40 and 174,843.20 is: 262,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,134.40 : 295,442.40 = 174,843.20 : x
  2. Step 2: Convert to fraction form
    197,134.40/295,442.40 = 174,843.20/x
  3. Step 3: Cross multiply
    197,134.40x = 295,442.40 × 174,843.20
  4. Step 4: Simplify right side
    197,134.40x = 51,656,094,631.68
  5. Step 5: Solve for x
    x = 51,656,094,631.68/197,134.40
  6. Step 6: Final answer
    x = 262,034.91

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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.