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Finding the Fourth Proportional to 271,575.70, 407,412.15 and 113,820.10

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Solution

The fourth proportional to 271,575.70, 407,412.15 and 113,820.10 is: 170,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,575.70 : 407,412.15 = 113,820.10 : x
  2. Step 2: Convert to fraction form
    271,575.70/407,412.15 = 113,820.10/x
  3. Step 3: Cross multiply
    271,575.70x = 407,412.15 × 113,820.10
  4. Step 4: Simplify right side
    271,575.70x = 46,371,691,654.22
  5. Step 5: Solve for x
    x = 46,371,691,654.22/271,575.70
  6. Step 6: Final answer
    x = 170,750.52

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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.