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Finding the Fourth Proportional to 205,595.82, 308,463.74 and 110,835.16

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Solution

The fourth proportional to 205,595.82, 308,463.74 and 110,835.16 is: 166,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,595.82 : 308,463.74 = 110,835.16 : x
  2. Step 2: Convert to fraction form
    205,595.82/308,463.74 = 110,835.16/x
  3. Step 3: Cross multiply
    205,595.82x = 308,463.74 × 110,835.16
  4. Step 4: Simplify right side
    205,595.82x = 34,188,627,977.10
  5. Step 5: Solve for x
    x = 34,188,627,977.10/205,595.82
  6. Step 6: Final answer
    x = 166,290.48

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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.