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Finding the Fourth Proportional to 135,528, 187,028.64 and 75,912

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Solution

The fourth proportional to 135,528, 187,028.64 and 75,912 is: 104,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,528 : 187,028.64 = 75,912 : x
  2. Step 2: Convert to fraction form
    135,528/187,028.64 = 75,912/x
  3. Step 3: Cross multiply
    135,528x = 187,028.64 × 75,912
  4. Step 4: Simplify right side
    135,528x = 14,197,718,119.68
  5. Step 5: Solve for x
    x = 14,197,718,119.68/135,528
  6. Step 6: Final answer
    x = 104,758.56

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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.