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Finding the Fourth Proportional to 197,228.80, 295,405.80 and 118,496.80

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Solution

The fourth proportional to 197,228.80, 295,405.80 and 118,496.80 is: 177,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,228.80 : 295,405.80 = 118,496.80 : x
  2. Step 2: Convert to fraction form
    197,228.80/295,405.80 = 118,496.80/x
  3. Step 3: Cross multiply
    197,228.80x = 295,405.80 × 118,496.80
  4. Step 4: Simplify right side
    197,228.80x = 35,004,642,001.44
  5. Step 5: Solve for x
    x = 35,004,642,001.44/197,228.80
  6. Step 6: Final answer
    x = 177,482.41

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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.