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Finding the Fourth Proportional to 225,301.84, 310,911.84 and 123,324.80

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Solution

The fourth proportional to 225,301.84, 310,911.84 and 123,324.80 is: 170,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,301.84 : 310,911.84 = 123,324.80 : x
  2. Step 2: Convert to fraction form
    225,301.84/310,911.84 = 123,324.80/x
  3. Step 3: Cross multiply
    225,301.84x = 310,911.84 × 123,324.80
  4. Step 4: Simplify right side
    225,301.84x = 38,343,140,485.63
  5. Step 5: Solve for x
    x = 38,343,140,485.63/225,301.84
  6. Step 6: Final answer
    x = 170,185.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.