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Finding the Fourth Proportional to 271,048.80, 406,028.88 and 152,542.56

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Solution

The fourth proportional to 271,048.80, 406,028.88 and 152,542.56 is: 228,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,048.80 : 406,028.88 = 152,542.56 : x
  2. Step 2: Convert to fraction form
    271,048.80/406,028.88 = 152,542.56/x
  3. Step 3: Cross multiply
    271,048.80x = 406,028.88 × 152,542.56
  4. Step 4: Simplify right side
    271,048.80x = 61,936,684,789.13
  5. Step 5: Solve for x
    x = 61,936,684,789.13/271,048.80
  6. Step 6: Final answer
    x = 228,507.50

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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.