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Finding the Fourth Proportional to 100,809.90, 151,208.73 and 44,633.58

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Solution

The fourth proportional to 100,809.90, 151,208.73 and 44,633.58 is: 66,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,809.90 : 151,208.73 = 44,633.58 : x
  2. Step 2: Convert to fraction form
    100,809.90/151,208.73 = 44,633.58/x
  3. Step 3: Cross multiply
    100,809.90x = 151,208.73 × 44,633.58
  4. Step 4: Simplify right side
    100,809.90x = 6,748,986,947.15
  5. Step 5: Solve for x
    x = 6,748,986,947.15/100,809.90
  6. Step 6: Final answer
    x = 66,947.66

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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.