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Finding the Fourth Proportional to 135,137.06, 186,489.11 and 73,883.46

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Solution

The fourth proportional to 135,137.06, 186,489.11 and 73,883.46 is: 101,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,137.06 : 186,489.11 = 73,883.46 : x
  2. Step 2: Convert to fraction form
    135,137.06/186,489.11 = 73,883.46/x
  3. Step 3: Cross multiply
    135,137.06x = 186,489.11 × 73,883.46
  4. Step 4: Simplify right side
    135,137.06x = 13,778,460,329.70
  5. Step 5: Solve for x
    x = 13,778,460,329.70/135,137.06
  6. Step 6: Final answer
    x = 101,959.16

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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.