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Finding the Fourth Proportional to 135,969.24, 187,636.32 and 75,540

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Solution

The fourth proportional to 135,969.24, 187,636.32 and 75,540 is: 104,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,969.24 : 187,636.32 = 75,540 : x
  2. Step 2: Convert to fraction form
    135,969.24/187,636.32 = 75,540/x
  3. Step 3: Cross multiply
    135,969.24x = 187,636.32 × 75,540
  4. Step 4: Simplify right side
    135,969.24x = 14,174,047,612.80
  5. Step 5: Solve for x
    x = 14,174,047,612.80/135,969.24
  6. Step 6: Final answer
    x = 104,244.52

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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.