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Finding the Fourth Proportional to 125,546.34, 188,319.82 and 30,776.94

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Solution

The fourth proportional to 125,546.34, 188,319.82 and 30,776.94 is: 46,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,546.34 : 188,319.82 = 30,776.94 : x
  2. Step 2: Convert to fraction form
    125,546.34/188,319.82 = 30,776.94/x
  3. Step 3: Cross multiply
    125,546.34x = 188,319.82 × 30,776.94
  4. Step 4: Simplify right side
    125,546.34x = 5,795,907,800.95
  5. Step 5: Solve for x
    x = 5,795,907,800.95/125,546.34
  6. Step 6: Final answer
    x = 46,165.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.