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Finding the Fourth Proportional to 137,270, 189,435.80 and 76,839.12

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Solution

The fourth proportional to 137,270, 189,435.80 and 76,839.12 is: 106,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,270 : 189,435.80 = 76,839.12 : x
  2. Step 2: Convert to fraction form
    137,270/189,435.80 = 76,839.12/x
  3. Step 3: Cross multiply
    137,270x = 189,435.80 × 76,839.12
  4. Step 4: Simplify right side
    137,270x = 14,556,080,168.50
  5. Step 5: Solve for x
    x = 14,556,080,168.50/137,270
  6. Step 6: Final answer
    x = 106,039.78

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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.