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Finding the Fourth Proportional to 255,199.38, 382,884.93 and 113,024.94

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Solution

The fourth proportional to 255,199.38, 382,884.93 and 113,024.94 is: 169,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,199.38 : 382,884.93 = 113,024.94 : x
  2. Step 2: Convert to fraction form
    255,199.38/382,884.93 = 113,024.94/x
  3. Step 3: Cross multiply
    255,199.38x = 382,884.93 × 113,024.94
  4. Step 4: Simplify right side
    255,199.38x = 43,275,546,240.15
  5. Step 5: Solve for x
    x = 43,275,546,240.15/255,199.38
  6. Step 6: Final answer
    x = 169,575.44

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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.