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Finding the Fourth Proportional to 135,812.49, 187,412.43 and 75,383.15

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Solution

The fourth proportional to 135,812.49, 187,412.43 and 75,383.15 is: 104,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,812.49 : 187,412.43 = 75,383.15 : x
  2. Step 2: Convert to fraction form
    135,812.49/187,412.43 = 75,383.15/x
  3. Step 3: Cross multiply
    135,812.49x = 187,412.43 × 75,383.15
  4. Step 4: Simplify right side
    135,812.49x = 14,127,738,385.49
  5. Step 5: Solve for x
    x = 14,127,738,385.49/135,812.49
  6. Step 6: Final answer
    x = 104,023.85

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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.