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Finding the Fourth Proportional to 271,250.60, 406,584.30 and 102,705.80

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Solution

The fourth proportional to 271,250.60, 406,584.30 and 102,705.80 is: 153,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,250.60 : 406,584.30 = 102,705.80 : x
  2. Step 2: Convert to fraction form
    271,250.60/406,584.30 = 102,705.80/x
  3. Step 3: Cross multiply
    271,250.60x = 406,584.30 × 102,705.80
  4. Step 4: Simplify right side
    271,250.60x = 41,758,565,798.94
  5. Step 5: Solve for x
    x = 41,758,565,798.94/271,250.60
  6. Step 6: Final answer
    x = 153,948.29

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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.