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Finding the Fourth Proportional to 117,771.86, 176,590.87 and 80,377.23

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Solution

The fourth proportional to 117,771.86, 176,590.87 and 80,377.23 is: 120,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,771.86 : 176,590.87 = 80,377.23 : x
  2. Step 2: Convert to fraction form
    117,771.86/176,590.87 = 80,377.23/x
  3. Step 3: Cross multiply
    117,771.86x = 176,590.87 × 80,377.23
  4. Step 4: Simplify right side
    117,771.86x = 14,193,884,973.89
  5. Step 5: Solve for x
    x = 14,193,884,973.89/117,771.86
  6. Step 6: Final answer
    x = 120,520.17

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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.