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Finding the Fourth Proportional to 225,558.40, 311,267.14 and 123,583.04

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Solution

The fourth proportional to 225,558.40, 311,267.14 and 123,583.04 is: 170,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,558.40 : 311,267.14 = 123,583.04 : x
  2. Step 2: Convert to fraction form
    225,558.40/311,267.14 = 123,583.04/x
  3. Step 3: Cross multiply
    225,558.40x = 311,267.14 × 123,583.04
  4. Step 4: Simplify right side
    225,558.40x = 38,467,339,413.31
  5. Step 5: Solve for x
    x = 38,467,339,413.31/225,558.40
  6. Step 6: Final answer
    x = 170,542.70

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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.