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Finding the Fourth Proportional to 189,878.57, 261,943.21 and 135,442.77

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Solution

The fourth proportional to 189,878.57, 261,943.21 and 135,442.77 is: 186,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,878.57 : 261,943.21 = 135,442.77 : x
  2. Step 2: Convert to fraction form
    189,878.57/261,943.21 = 135,442.77/x
  3. Step 3: Cross multiply
    189,878.57x = 261,943.21 × 135,442.77
  4. Step 4: Simplify right side
    189,878.57x = 35,478,313,945.09
  5. Step 5: Solve for x
    x = 35,478,313,945.09/189,878.57
  6. Step 6: Final answer
    x = 186,847.38

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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.