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Finding the Fourth Proportional to 135,918, 187,566.84 and 76,302

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Solution

The fourth proportional to 135,918, 187,566.84 and 76,302 is: 105,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,918 : 187,566.84 = 76,302 : x
  2. Step 2: Convert to fraction form
    135,918/187,566.84 = 76,302/x
  3. Step 3: Cross multiply
    135,918x = 187,566.84 × 76,302
  4. Step 4: Simplify right side
    135,918x = 14,311,725,025.68
  5. Step 5: Solve for x
    x = 14,311,725,025.68/135,918
  6. Step 6: Final answer
    x = 105,296.76

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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.