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Finding the Fourth Proportional to 119,072.88, 164,317.86 and 76,631.40

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Solution

The fourth proportional to 119,072.88, 164,317.86 and 76,631.40 is: 105,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,072.88 : 164,317.86 = 76,631.40 : x
  2. Step 2: Convert to fraction form
    119,072.88/164,317.86 = 76,631.40/x
  3. Step 3: Cross multiply
    119,072.88x = 164,317.86 × 76,631.40
  4. Step 4: Simplify right side
    119,072.88x = 12,591,907,656.80
  5. Step 5: Solve for x
    x = 12,591,907,656.80/119,072.88
  6. Step 6: Final answer
    x = 105,749.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.