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Finding the Fourth Proportional to 225,734.32, 311,406.01 and 135,072.02

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Solution

The fourth proportional to 225,734.32, 311,406.01 and 135,072.02 is: 186,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,734.32 : 311,406.01 = 135,072.02 : x
  2. Step 2: Convert to fraction form
    225,734.32/311,406.01 = 135,072.02/x
  3. Step 3: Cross multiply
    225,734.32x = 311,406.01 × 135,072.02
  4. Step 4: Simplify right side
    225,734.32x = 42,062,238,810.84
  5. Step 5: Solve for x
    x = 42,062,238,810.84/225,734.32
  6. Step 6: Final answer
    x = 186,335.15

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Why These Related Problems?

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