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Finding the Fourth Proportional to 176,323.20, 264,549.60 and 71,152.80

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Solution

The fourth proportional to 176,323.20, 264,549.60 and 71,152.80 is: 106,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,323.20 : 264,549.60 = 71,152.80 : x
  2. Step 2: Convert to fraction form
    176,323.20/264,549.60 = 71,152.80/x
  3. Step 3: Cross multiply
    176,323.20x = 264,549.60 × 71,152.80
  4. Step 4: Simplify right side
    176,323.20x = 18,823,444,778.88
  5. Step 5: Solve for x
    x = 18,823,444,778.88/176,323.20
  6. Step 6: Final answer
    x = 106,755.35

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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.