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Finding the Fourth Proportional to 225,717.66, 311,523.03 and 130,205.34

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Solution

The fourth proportional to 225,717.66, 311,523.03 and 130,205.34 is: 179,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,717.66 : 311,523.03 = 130,205.34 : x
  2. Step 2: Convert to fraction form
    225,717.66/311,523.03 = 130,205.34/x
  3. Step 3: Cross multiply
    225,717.66x = 311,523.03 × 130,205.34
  4. Step 4: Simplify right side
    225,717.66x = 40,561,962,038.98
  5. Step 5: Solve for x
    x = 40,561,962,038.98/225,717.66
  6. Step 6: Final answer
    x = 179,702.21

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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.