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Finding the Fourth Proportional to 135,100.34, 186,448.11 and 74,669.68

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Solution

The fourth proportional to 135,100.34, 186,448.11 and 74,669.68 is: 103,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,100.34 : 186,448.11 = 74,669.68 : x
  2. Step 2: Convert to fraction form
    135,100.34/186,448.11 = 74,669.68/x
  3. Step 3: Cross multiply
    135,100.34x = 186,448.11 × 74,669.68
  4. Step 4: Simplify right side
    135,100.34x = 13,922,020,710.30
  5. Step 5: Solve for x
    x = 13,922,020,710.30/135,100.34
  6. Step 6: Final answer
    x = 103,049.49

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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.