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Finding the Fourth Proportional to 135,642.36, 187,178.90 and 75,209.46

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Solution

The fourth proportional to 135,642.36, 187,178.90 and 75,209.46 is: 103,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642.36 : 187,178.90 = 75,209.46 : x
  2. Step 2: Convert to fraction form
    135,642.36/187,178.90 = 75,209.46/x
  3. Step 3: Cross multiply
    135,642.36x = 187,178.90 × 75,209.46
  4. Step 4: Simplify right side
    135,642.36x = 14,077,623,992.39
  5. Step 5: Solve for x
    x = 14,077,623,992.39/135,642.36
  6. Step 6: Final answer
    x = 103,784.86

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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.