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Finding the Fourth Proportional to 275,551.10, 412,933.05 and 156,971.90

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Solution

The fourth proportional to 275,551.10, 412,933.05 and 156,971.90 is: 235,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,551.10 : 412,933.05 = 156,971.90 : x
  2. Step 2: Convert to fraction form
    275,551.10/412,933.05 = 156,971.90/x
  3. Step 3: Cross multiply
    275,551.10x = 412,933.05 × 156,971.90
  4. Step 4: Simplify right side
    275,551.10x = 64,818,885,431.30
  5. Step 5: Solve for x
    x = 64,818,885,431.30/275,551.10
  6. Step 6: Final answer
    x = 235,233.63

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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.