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Finding the Fourth Proportional to 255,287.34, 382,930.82 and 114,881.94

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Solution

The fourth proportional to 255,287.34, 382,930.82 and 114,881.94 is: 172,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,287.34 : 382,930.82 = 114,881.94 : x
  2. Step 2: Convert to fraction form
    255,287.34/382,930.82 = 114,881.94/x
  3. Step 3: Cross multiply
    255,287.34x = 382,930.82 × 114,881.94
  4. Step 4: Simplify right side
    255,287.34x = 43,991,835,487.39
  5. Step 5: Solve for x
    x = 43,991,835,487.39/255,287.34
  6. Step 6: Final answer
    x = 172,322.82

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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.