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Finding the Fourth Proportional to 176,539.10, 264,711.45 and 71,239.10

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Solution

The fourth proportional to 176,539.10, 264,711.45 and 71,239.10 is: 106,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,539.10 : 264,711.45 = 71,239.10 : x
  2. Step 2: Convert to fraction form
    176,539.10/264,711.45 = 71,239.10/x
  3. Step 3: Cross multiply
    176,539.10x = 264,711.45 × 71,239.10
  4. Step 4: Simplify right side
    176,539.10x = 18,857,805,457.70
  5. Step 5: Solve for x
    x = 18,857,805,457.70/176,539.10
  6. Step 6: Final answer
    x = 106,819.43

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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.