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Finding the Fourth Proportional to 225,022.86, 310,385.22 and 144,322.56

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Solution

The fourth proportional to 225,022.86, 310,385.22 and 144,322.56 is: 199,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,022.86 : 310,385.22 = 144,322.56 : x
  2. Step 2: Convert to fraction form
    225,022.86/310,385.22 = 144,322.56/x
  3. Step 3: Cross multiply
    225,022.86x = 310,385.22 × 144,322.56
  4. Step 4: Simplify right side
    225,022.86x = 44,795,589,536.56
  5. Step 5: Solve for x
    x = 44,795,589,536.56/225,022.86
  6. Step 6: Final answer
    x = 199,071.28

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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.