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Finding the Fourth Proportional to 176,558.32, 264,736.50 and 58,197.88

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Solution

The fourth proportional to 176,558.32, 264,736.50 and 58,197.88 is: 87,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,558.32 : 264,736.50 = 58,197.88 : x
  2. Step 2: Convert to fraction form
    176,558.32/264,736.50 = 58,197.88/x
  3. Step 3: Cross multiply
    176,558.32x = 264,736.50 × 58,197.88
  4. Step 4: Simplify right side
    176,558.32x = 15,407,103,058.62
  5. Step 5: Solve for x
    x = 15,407,103,058.62/176,558.32
  6. Step 6: Final answer
    x = 87,263.53

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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.