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Finding the Fourth Proportional to 135,619.47, 187,137.50 and 75,189.51

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Solution

The fourth proportional to 135,619.47, 187,137.50 and 75,189.51 is: 103,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,619.47 : 187,137.50 = 75,189.51 : x
  2. Step 2: Convert to fraction form
    135,619.47/187,137.50 = 75,189.51/x
  3. Step 3: Cross multiply
    135,619.47x = 187,137.50 × 75,189.51
  4. Step 4: Simplify right side
    135,619.47x = 14,070,776,551.68
  5. Step 5: Solve for x
    x = 14,070,776,551.68/135,619.47
  6. Step 6: Final answer
    x = 103,751.89

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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.