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Finding the Fourth Proportional to 149,742.83, 206,643.54 and 81,759.59

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Solution

The fourth proportional to 149,742.83, 206,643.54 and 81,759.59 is: 112,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,742.83 : 206,643.54 = 81,759.59 : x
  2. Step 2: Convert to fraction form
    149,742.83/206,643.54 = 81,759.59/x
  3. Step 3: Cross multiply
    149,742.83x = 206,643.54 × 81,759.59
  4. Step 4: Simplify right side
    149,742.83x = 16,895,090,813.08
  5. Step 5: Solve for x
    x = 16,895,090,813.08/149,742.83
  6. Step 6: Final answer
    x = 112,827.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.