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Finding the Fourth Proportional to 275,091.21, 412,699.05 and 97,598.43

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Solution

The fourth proportional to 275,091.21, 412,699.05 and 97,598.43 is: 146,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,091.21 : 412,699.05 = 97,598.43 : x
  2. Step 2: Convert to fraction form
    275,091.21/412,699.05 = 97,598.43/x
  3. Step 3: Cross multiply
    275,091.21x = 412,699.05 × 97,598.43
  4. Step 4: Simplify right side
    275,091.21x = 40,278,779,342.49
  5. Step 5: Solve for x
    x = 40,278,779,342.49/275,091.21
  6. Step 6: Final answer
    x = 146,419.73

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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.