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Finding the Fourth Proportional to 225,894.94, 311,682.68 and 135,216.43

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Solution

The fourth proportional to 225,894.94, 311,682.68 and 135,216.43 is: 186,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,894.94 : 311,682.68 = 135,216.43 : x
  2. Step 2: Convert to fraction form
    225,894.94/311,682.68 = 135,216.43/x
  3. Step 3: Cross multiply
    225,894.94x = 311,682.68 × 135,216.43
  4. Step 4: Simplify right side
    225,894.94x = 42,144,617,047.94
  5. Step 5: Solve for x
    x = 42,144,617,047.94/225,894.94
  6. Step 6: Final answer
    x = 186,567.34

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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.