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Finding the Fourth Proportional to 271,140.80, 406,826.40 and 130,827.20

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Solution

The fourth proportional to 271,140.80, 406,826.40 and 130,827.20 is: 196,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,140.80 : 406,826.40 = 130,827.20 : x
  2. Step 2: Convert to fraction form
    271,140.80/406,826.40 = 130,827.20/x
  3. Step 3: Cross multiply
    271,140.80x = 406,826.40 × 130,827.20
  4. Step 4: Simplify right side
    271,140.80x = 53,223,958,798.08
  5. Step 5: Solve for x
    x = 53,223,958,798.08/271,140.80
  6. Step 6: Final answer
    x = 196,296.38

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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.