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Finding the Fourth Proportional to 100,842.67, 151,193.99 and 44,652.16

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Solution

The fourth proportional to 100,842.67, 151,193.99 and 44,652.16 is: 66,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,842.67 : 151,193.99 = 44,652.16 : x
  2. Step 2: Convert to fraction form
    100,842.67/151,193.99 = 44,652.16/x
  3. Step 3: Cross multiply
    100,842.67x = 151,193.99 × 44,652.16
  4. Step 4: Simplify right side
    100,842.67x = 6,751,138,533.14
  5. Step 5: Solve for x
    x = 6,751,138,533.14/100,842.67
  6. Step 6: Final answer
    x = 66,947.24

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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.