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Finding the Fourth Proportional to 271,749.60, 407,624.40 and 84,760.80

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Solution

The fourth proportional to 271,749.60, 407,624.40 and 84,760.80 is: 127,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,749.60 : 407,624.40 = 84,760.80 : x
  2. Step 2: Convert to fraction form
    271,749.60/407,624.40 = 84,760.80/x
  3. Step 3: Cross multiply
    271,749.60x = 407,624.40 × 84,760.80
  4. Step 4: Simplify right side
    271,749.60x = 34,550,570,243.52
  5. Step 5: Solve for x
    x = 34,550,570,243.52/271,749.60
  6. Step 6: Final answer
    x = 127,141.20

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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.