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Finding the Fourth Proportional to 135,185.63, 186,552.38 and 74,754.23

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Solution

The fourth proportional to 135,185.63, 186,552.38 and 74,754.23 is: 103,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,185.63 : 186,552.38 = 74,754.23 : x
  2. Step 2: Convert to fraction form
    135,185.63/186,552.38 = 74,754.23/x
  3. Step 3: Cross multiply
    135,185.63x = 186,552.38 × 74,754.23
  4. Step 4: Simplify right side
    135,185.63x = 13,945,578,775.69
  5. Step 5: Solve for x
    x = 13,945,578,775.69/135,185.63
  6. Step 6: Final answer
    x = 103,158.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.