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Finding the Fourth Proportional to 255,286.34, 382,929.32 and 114,880.94

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Solution

The fourth proportional to 255,286.34, 382,929.32 and 114,880.94 is: 172,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,286.34 : 382,929.32 = 114,880.94 : x
  2. Step 2: Convert to fraction form
    255,286.34/382,929.32 = 114,880.94/x
  3. Step 3: Cross multiply
    255,286.34x = 382,929.32 × 114,880.94
  4. Step 4: Simplify right side
    255,286.34x = 43,991,278,607.72
  5. Step 5: Solve for x
    x = 43,991,278,607.72/255,286.34
  6. Step 6: Final answer
    x = 172,321.32

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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.