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Finding the Fourth Proportional to 271,055.20, 406,647.60 and 130,698.40

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Solution

The fourth proportional to 271,055.20, 406,647.60 and 130,698.40 is: 196,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,055.20 : 406,647.60 = 130,698.40 : x
  2. Step 2: Convert to fraction form
    271,055.20/406,647.60 = 130,698.40/x
  3. Step 3: Cross multiply
    271,055.20x = 406,647.60 × 130,698.40
  4. Step 4: Simplify right side
    271,055.20x = 53,148,190,683.84
  5. Step 5: Solve for x
    x = 53,148,190,683.84/271,055.20
  6. Step 6: Final answer
    x = 196,078.85

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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.