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Finding the Fourth Proportional to 271,264.60, 406,605.30 and 102,719.80

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Solution

The fourth proportional to 271,264.60, 406,605.30 and 102,719.80 is: 153,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,264.60 : 406,605.30 = 102,719.80 : x
  2. Step 2: Convert to fraction form
    271,264.60/406,605.30 = 102,719.80/x
  3. Step 3: Cross multiply
    271,264.60x = 406,605.30 × 102,719.80
  4. Step 4: Simplify right side
    271,264.60x = 41,766,415,094.94
  5. Step 5: Solve for x
    x = 41,766,415,094.94/271,264.60
  6. Step 6: Final answer
    x = 153,969.28

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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.