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Finding the Fourth Proportional to 149,864, 206,813.04 and 86,205.56

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Solution

The fourth proportional to 149,864, 206,813.04 and 86,205.56 is: 118,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,864 : 206,813.04 = 86,205.56 : x
  2. Step 2: Convert to fraction form
    149,864/206,813.04 = 86,205.56/x
  3. Step 3: Cross multiply
    149,864x = 206,813.04 × 86,205.56
  4. Step 4: Simplify right side
    149,864x = 17,828,433,928.50
  5. Step 5: Solve for x
    x = 17,828,433,928.50/149,864
  6. Step 6: Final answer
    x = 118,964.09

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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.