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Finding the Fourth Proportional to 136,648.40, 188,574.31 and 76,219

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Solution

The fourth proportional to 136,648.40, 188,574.31 and 76,219 is: 105,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,648.40 : 188,574.31 = 76,219 : x
  2. Step 2: Convert to fraction form
    136,648.40/188,574.31 = 76,219/x
  3. Step 3: Cross multiply
    136,648.40x = 188,574.31 × 76,219
  4. Step 4: Simplify right side
    136,648.40x = 14,372,945,333.89
  5. Step 5: Solve for x
    x = 14,372,945,333.89/136,648.40
  6. Step 6: Final answer
    x = 105,181.95

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