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Finding the Fourth Proportional to 255,224.92, 382,923.96 and 113,051.08

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Solution

The fourth proportional to 255,224.92, 382,923.96 and 113,051.08 is: 169,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,224.92 : 382,923.96 = 113,051.08 : x
  2. Step 2: Convert to fraction form
    255,224.92/382,923.96 = 113,051.08/x
  3. Step 3: Cross multiply
    255,224.92x = 382,923.96 × 113,051.08
  4. Step 4: Simplify right side
    255,224.92x = 43,289,967,235.88
  5. Step 5: Solve for x
    x = 43,289,967,235.88/255,224.92
  6. Step 6: Final answer
    x = 169,614.97

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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.