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Finding the Fourth Proportional to 255,288.72, 382,932.88 and 114,883.32

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Solution

The fourth proportional to 255,288.72, 382,932.88 and 114,883.32 is: 172,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,288.72 : 382,932.88 = 114,883.32 : x
  2. Step 2: Convert to fraction form
    255,288.72/382,932.88 = 114,883.32/x
  3. Step 3: Cross multiply
    255,288.72x = 382,932.88 × 114,883.32
  4. Step 4: Simplify right side
    255,288.72x = 43,992,600,591.56
  5. Step 5: Solve for x
    x = 43,992,600,591.56/255,288.72
  6. Step 6: Final answer
    x = 172,324.89

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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.