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Finding the Fourth Proportional to 205,616.27, 308,410.74 and 70,667.44

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Solution

The fourth proportional to 205,616.27, 308,410.74 and 70,667.44 is: 105,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,616.27 : 308,410.74 = 70,667.44 : x
  2. Step 2: Convert to fraction form
    205,616.27/308,410.74 = 70,667.44/x
  3. Step 3: Cross multiply
    205,616.27x = 308,410.74 × 70,667.44
  4. Step 4: Simplify right side
    205,616.27x = 21,794,596,693.28
  5. Step 5: Solve for x
    x = 21,794,596,693.28/205,616.27
  6. Step 6: Final answer
    x = 105,996.46

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1.5x scale

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.