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Finding the Fourth Proportional to 114,285.62, 170,733.44 and 73,976.24

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Solution

The fourth proportional to 114,285.62, 170,733.44 and 73,976.24 is: 110,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,285.62 : 170,733.44 = 73,976.24 : x
  2. Step 2: Convert to fraction form
    114,285.62/170,733.44 = 73,976.24/x
  3. Step 3: Cross multiply
    114,285.62x = 170,733.44 × 73,976.24
  4. Step 4: Simplify right side
    114,285.62x = 12,630,216,709.92
  5. Step 5: Solve for x
    x = 12,630,216,709.92/114,285.62
  6. Step 6: Final answer
    x = 110,514.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.