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Finding the Fourth Proportional to 213,586.88, 294,819.84 and 149,940.32

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Solution

The fourth proportional to 213,586.88, 294,819.84 and 149,940.32 is: 206,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,586.88 : 294,819.84 = 149,940.32 : x
  2. Step 2: Convert to fraction form
    213,586.88/294,819.84 = 149,940.32/x
  3. Step 3: Cross multiply
    213,586.88x = 294,819.84 × 149,940.32
  4. Step 4: Simplify right side
    213,586.88x = 44,205,381,151.95
  5. Step 5: Solve for x
    x = 44,205,381,151.95/213,586.88
  6. Step 6: Final answer
    x = 206,966.74

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1.5x scale

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.