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Finding the Fourth Proportional to 205,596.82, 308,465.24 and 110,836.16

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Solution

The fourth proportional to 205,596.82, 308,465.24 and 110,836.16 is: 166,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,596.82 : 308,465.24 = 110,836.16 : x
  2. Step 2: Convert to fraction form
    205,596.82/308,465.24 = 110,836.16/x
  3. Step 3: Cross multiply
    205,596.82x = 308,465.24 × 110,836.16
  4. Step 4: Simplify right side
    205,596.82x = 34,189,102,695.08
  5. Step 5: Solve for x
    x = 34,189,102,695.08/205,596.82
  6. Step 6: Final answer
    x = 166,291.98

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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.