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Finding the Fourth Proportional to 150,612.12, 225,779.94 and 52,047

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Solution

The fourth proportional to 150,612.12, 225,779.94 and 52,047 is: 78,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,612.12 : 225,779.94 = 52,047 : x
  2. Step 2: Convert to fraction form
    150,612.12/225,779.94 = 52,047/x
  3. Step 3: Cross multiply
    150,612.12x = 225,779.94 × 52,047
  4. Step 4: Simplify right side
    150,612.12x = 11,751,168,537.18
  5. Step 5: Solve for x
    x = 11,751,168,537.18/150,612.12
  6. Step 6: Final answer
    x = 78,022.73

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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.