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Finding the Fourth Proportional to 205,464.80, 307,678.80 and 163,992.80

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Solution

The fourth proportional to 205,464.80, 307,678.80 and 163,992.80 is: 245,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,464.80 : 307,678.80 = 163,992.80 : x
  2. Step 2: Convert to fraction form
    205,464.80/307,678.80 = 163,992.80/x
  3. Step 3: Cross multiply
    205,464.80x = 307,678.80 × 163,992.80
  4. Step 4: Simplify right side
    205,464.80x = 50,457,107,912.64
  5. Step 5: Solve for x
    x = 50,457,107,912.64/205,464.80
  6. Step 6: Final answer
    x = 245,575.44

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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.