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Finding the Fourth Proportional to 177,795, 245,147.46 and 143,698.05

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Solution

The fourth proportional to 177,795, 245,147.46 and 143,698.05 is: 198,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,795 : 245,147.46 = 143,698.05 : x
  2. Step 2: Convert to fraction form
    177,795/245,147.46 = 143,698.05/x
  3. Step 3: Cross multiply
    177,795x = 245,147.46 × 143,698.05
  4. Step 4: Simplify right side
    177,795x = 35,227,211,964.45
  5. Step 5: Solve for x
    x = 35,227,211,964.45/177,795
  6. Step 6: Final answer
    x = 198,133.87

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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.