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Finding the Fourth Proportional to 176,234.76, 264,379.68 and 57,879.12

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Solution

The fourth proportional to 176,234.76, 264,379.68 and 57,879.12 is: 86,827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,234.76 : 264,379.68 = 57,879.12 : x
  2. Step 2: Convert to fraction form
    176,234.76/264,379.68 = 57,879.12/x
  3. Step 3: Cross multiply
    176,234.76x = 264,379.68 × 57,879.12
  4. Step 4: Simplify right side
    176,234.76x = 15,302,063,224.28
  5. Step 5: Solve for x
    x = 15,302,063,224.28/176,234.76
  6. Step 6: Final answer
    x = 86,827.72

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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.