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Finding the Fourth Proportional to 176,408.48, 264,621.36 and 71,214.32

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Solution

The fourth proportional to 176,408.48, 264,621.36 and 71,214.32 is: 106,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,408.48 : 264,621.36 = 71,214.32 : x
  2. Step 2: Convert to fraction form
    176,408.48/264,621.36 = 71,214.32/x
  3. Step 3: Cross multiply
    176,408.48x = 264,621.36 × 71,214.32
  4. Step 4: Simplify right side
    176,408.48x = 18,844,830,209.88
  5. Step 5: Solve for x
    x = 18,844,830,209.88/176,408.48
  6. Step 6: Final answer
    x = 106,824.97

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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.