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Finding the Fourth Proportional to 225,409.16, 311,065.18 and 123,441.32

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Solution

The fourth proportional to 225,409.16, 311,065.18 and 123,441.32 is: 170,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,409.16 : 311,065.18 = 123,441.32 : x
  2. Step 2: Convert to fraction form
    225,409.16/311,065.18 = 123,441.32/x
  3. Step 3: Cross multiply
    225,409.16x = 311,065.18 × 123,441.32
  4. Step 4: Simplify right side
    225,409.16x = 38,398,296,425.24
  5. Step 5: Solve for x
    x = 38,398,296,425.24/225,409.16
  6. Step 6: Final answer
    x = 170,349.32

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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.