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Finding the Fourth Proportional to 176,404.86, 264,651.84 and 76,540.77

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Solution

The fourth proportional to 176,404.86, 264,651.84 and 76,540.77 is: 114,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,404.86 : 264,651.84 = 76,540.77 : x
  2. Step 2: Convert to fraction form
    176,404.86/264,651.84 = 76,540.77/x
  3. Step 3: Cross multiply
    176,404.86x = 264,651.84 × 76,540.77
  4. Step 4: Simplify right side
    176,404.86x = 20,256,655,615.52
  5. Step 5: Solve for x
    x = 20,256,655,615.52/176,404.86
  6. Step 6: Final answer
    x = 114,830.48

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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.