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Finding the Fourth Proportional to 225,381.32, 311,025.30 and 123,407.24

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Solution

The fourth proportional to 225,381.32, 311,025.30 and 123,407.24 is: 170,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,381.32 : 311,025.30 = 123,407.24 : x
  2. Step 2: Convert to fraction form
    225,381.32/311,025.30 = 123,407.24/x
  3. Step 3: Cross multiply
    225,381.32x = 311,025.30 × 123,407.24
  4. Step 4: Simplify right side
    225,381.32x = 38,382,773,843.17
  5. Step 5: Solve for x
    x = 38,382,773,843.17/225,381.32
  6. Step 6: Final answer
    x = 170,301.49

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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.