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Finding the Fourth Proportional to 225,902.10, 311,754.72 and 135,240.60

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Solution

The fourth proportional to 225,902.10, 311,754.72 and 135,240.60 is: 186,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,902.10 : 311,754.72 = 135,240.60 : x
  2. Step 2: Convert to fraction form
    225,902.10/311,754.72 = 135,240.60/x
  3. Step 3: Cross multiply
    225,902.10x = 311,754.72 × 135,240.60
  4. Step 4: Simplify right side
    225,902.10x = 42,161,895,385.63
  5. Step 5: Solve for x
    x = 42,161,895,385.63/225,902.10
  6. Step 6: Final answer
    x = 186,637.91

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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.