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Finding the Fourth Proportional to 271,101.60, 406,263.60 and 199,465.20

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Solution

The fourth proportional to 271,101.60, 406,263.60 and 199,465.20 is: 298,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,101.60 : 406,263.60 = 199,465.20 : x
  2. Step 2: Convert to fraction form
    271,101.60/406,263.60 = 199,465.20/x
  3. Step 3: Cross multiply
    271,101.60x = 406,263.60 × 199,465.20
  4. Step 4: Simplify right side
    271,101.60x = 81,035,450,226.72
  5. Step 5: Solve for x
    x = 81,035,450,226.72/271,101.60
  6. Step 6: Final answer
    x = 298,911.74

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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.