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Finding the Fourth Proportional to 117,774.88, 176,562.48 and 51,164.80

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Solution

The fourth proportional to 117,774.88, 176,562.48 and 51,164.80 is: 76,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,774.88 : 176,562.48 = 51,164.80 : x
  2. Step 2: Convert to fraction form
    117,774.88/176,562.48 = 51,164.80/x
  3. Step 3: Cross multiply
    117,774.88x = 176,562.48 × 51,164.80
  4. Step 4: Simplify right side
    117,774.88x = 9,033,783,976.70
  5. Step 5: Solve for x
    x = 9,033,783,976.70/117,774.88
  6. Step 6: Final answer
    x = 76,703.83

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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.