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Finding the Fourth Proportional to 225,271.36, 310,861.81 and 123,296.61

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Solution

The fourth proportional to 225,271.36, 310,861.81 and 123,296.61 is: 170,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,271.36 : 310,861.81 = 123,296.61 : x
  2. Step 2: Convert to fraction form
    225,271.36/310,861.81 = 123,296.61/x
  3. Step 3: Cross multiply
    225,271.36x = 310,861.81 × 123,296.61
  4. Step 4: Simplify right side
    225,271.36x = 38,328,207,351.46
  5. Step 5: Solve for x
    x = 38,328,207,351.46/225,271.36
  6. Step 6: Final answer
    x = 170,142.39

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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.