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Finding the Fourth Proportional to 206,834.52, 310,252.59 and 136,698.24

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Solution

The fourth proportional to 206,834.52, 310,252.59 and 136,698.24 is: 205,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,834.52 : 310,252.59 = 136,698.24 : x
  2. Step 2: Convert to fraction form
    206,834.52/310,252.59 = 136,698.24/x
  3. Step 3: Cross multiply
    206,834.52x = 310,252.59 × 136,698.24
  4. Step 4: Simplify right side
    206,834.52x = 42,410,983,008.44
  5. Step 5: Solve for x
    x = 42,410,983,008.44/206,834.52
  6. Step 6: Final answer
    x = 205,047.90

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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.