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Finding the Fourth Proportional to 225,580.14, 311,300.67 and 123,604.77

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Solution

The fourth proportional to 225,580.14, 311,300.67 and 123,604.77 is: 170,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,580.14 : 311,300.67 = 123,604.77 : x
  2. Step 2: Convert to fraction form
    225,580.14/311,300.67 = 123,604.77/x
  3. Step 3: Cross multiply
    225,580.14x = 311,300.67 × 123,604.77
  4. Step 4: Simplify right side
    225,580.14x = 38,478,247,716.20
  5. Step 5: Solve for x
    x = 38,478,247,716.20/225,580.14
  6. Step 6: Final answer
    x = 170,574.62

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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.