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Finding the Fourth Proportional to 176,323.40, 264,636.30 and 71,217.80

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Solution

The fourth proportional to 176,323.40, 264,636.30 and 71,217.80 is: 106,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,323.40 : 264,636.30 = 71,217.80 : x
  2. Step 2: Convert to fraction form
    176,323.40/264,636.30 = 71,217.80/x
  3. Step 3: Cross multiply
    176,323.40x = 264,636.30 × 71,217.80
  4. Step 4: Simplify right side
    176,323.40x = 18,846,815,086.14
  5. Step 5: Solve for x
    x = 18,846,815,086.14/176,323.40
  6. Step 6: Final answer
    x = 106,887.77

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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.