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Finding the Fourth Proportional to 255,233.84, 382,936.01 and 113,059.80

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Solution

The fourth proportional to 255,233.84, 382,936.01 and 113,059.80 is: 169,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,233.84 : 382,936.01 = 113,059.80 : x
  2. Step 2: Convert to fraction form
    255,233.84/382,936.01 = 113,059.80/x
  3. Step 3: Cross multiply
    255,233.84x = 382,936.01 × 113,059.80
  4. Step 4: Simplify right side
    255,233.84x = 43,294,668,138.10
  5. Step 5: Solve for x
    x = 43,294,668,138.10/255,233.84
  6. Step 6: Final answer
    x = 169,627.46

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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.