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Finding the Fourth Proportional to 205,412.80, 308,378.40 and 110,718.40

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Solution

The fourth proportional to 205,412.80, 308,378.40 and 110,718.40 is: 166,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,412.80 : 308,378.40 = 110,718.40 : x
  2. Step 2: Convert to fraction form
    205,412.80/308,378.40 = 110,718.40/x
  3. Step 3: Cross multiply
    205,412.80x = 308,378.40 × 110,718.40
  4. Step 4: Simplify right side
    205,412.80x = 34,143,163,042.56
  5. Step 5: Solve for x
    x = 34,143,163,042.56/205,412.80
  6. Step 6: Final answer
    x = 166,217.31

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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.