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Finding the Fourth Proportional to 298,187.60, 447,266.80 and 111,184.48

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Solution

The fourth proportional to 298,187.60, 447,266.80 and 111,184.48 is: 166,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,187.60 : 447,266.80 = 111,184.48 : x
  2. Step 2: Convert to fraction form
    298,187.60/447,266.80 = 111,184.48/x
  3. Step 3: Cross multiply
    298,187.60x = 447,266.80 × 111,184.48
  4. Step 4: Simplify right side
    298,187.60x = 49,729,126,579.26
  5. Step 5: Solve for x
    x = 49,729,126,579.26/298,187.60
  6. Step 6: Final answer
    x = 166,771.28

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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.