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Finding the Fourth Proportional to 149,894.30, 206,854.14 and 82,826.30

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Solution

The fourth proportional to 149,894.30, 206,854.14 and 82,826.30 is: 114,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,894.30 : 206,854.14 = 82,826.30 : x
  2. Step 2: Convert to fraction form
    149,894.30/206,854.14 = 82,826.30/x
  3. Step 3: Cross multiply
    149,894.30x = 206,854.14 × 82,826.30
  4. Step 4: Simplify right side
    149,894.30x = 17,132,963,055.88
  5. Step 5: Solve for x
    x = 17,132,963,055.88/149,894.30
  6. Step 6: Final answer
    x = 114,300.30

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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.