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Finding the Fourth Proportional to 271,437.80, 406,542.30 and 160,845.80

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Solution

The fourth proportional to 271,437.80, 406,542.30 and 160,845.80 is: 240,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,437.80 : 406,542.30 = 160,845.80 : x
  2. Step 2: Convert to fraction form
    271,437.80/406,542.30 = 160,845.80/x
  3. Step 3: Cross multiply
    271,437.80x = 406,542.30 × 160,845.80
  4. Step 4: Simplify right side
    271,437.80x = 65,390,621,477.34
  5. Step 5: Solve for x
    x = 65,390,621,477.34/271,437.80
  6. Step 6: Final answer
    x = 240,904.63

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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.