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Finding the Fourth Proportional to 225,592.86, 311,318.06 and 134,952.62

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Solution

The fourth proportional to 225,592.86, 311,318.06 and 134,952.62 is: 186,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,592.86 : 311,318.06 = 134,952.62 : x
  2. Step 2: Convert to fraction form
    225,592.86/311,318.06 = 134,952.62/x
  3. Step 3: Cross multiply
    225,592.86x = 311,318.06 × 134,952.62
  4. Step 4: Simplify right side
    225,592.86x = 42,013,187,850.32
  5. Step 5: Solve for x
    x = 42,013,187,850.32/225,592.86
  6. Step 6: Final answer
    x = 186,234.56

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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.