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Finding the Fourth Proportional to 176,283.60, 264,469.14 and 82,680

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Solution

The fourth proportional to 176,283.60, 264,469.14 and 82,680 is: 124,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,283.60 : 264,469.14 = 82,680 : x
  2. Step 2: Convert to fraction form
    176,283.60/264,469.14 = 82,680/x
  3. Step 3: Cross multiply
    176,283.60x = 264,469.14 × 82,680
  4. Step 4: Simplify right side
    176,283.60x = 21,866,308,495.20
  5. Step 5: Solve for x
    x = 21,866,308,495.20/176,283.60
  6. Step 6: Final answer
    x = 124,040.51

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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.