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Finding the Fourth Proportional to 135,400.38, 186,858.94 and 81,684.24

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Solution

The fourth proportional to 135,400.38, 186,858.94 and 81,684.24 is: 112,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,400.38 : 186,858.94 = 81,684.24 : x
  2. Step 2: Convert to fraction form
    135,400.38/186,858.94 = 81,684.24/x
  3. Step 3: Cross multiply
    135,400.38x = 186,858.94 × 81,684.24
  4. Step 4: Simplify right side
    135,400.38x = 15,263,430,501.11
  5. Step 5: Solve for x
    x = 15,263,430,501.11/135,400.38
  6. Step 6: Final answer
    x = 112,728.12

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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.