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Finding the Fourth Proportional to 271,281.80, 406,922.70 and 123,825.80

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Solution

The fourth proportional to 271,281.80, 406,922.70 and 123,825.80 is: 185,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,281.80 : 406,922.70 = 123,825.80 : x
  2. Step 2: Convert to fraction form
    271,281.80/406,922.70 = 123,825.80/x
  3. Step 3: Cross multiply
    271,281.80x = 406,922.70 × 123,825.80
  4. Step 4: Simplify right side
    271,281.80x = 50,387,528,865.66
  5. Step 5: Solve for x
    x = 50,387,528,865.66/271,281.80
  6. Step 6: Final answer
    x = 185,738.70

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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.