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Finding the Fourth Proportional to 202,381.66, 303,759.18 and 102,611.50

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Solution

The fourth proportional to 202,381.66, 303,759.18 and 102,611.50 is: 154,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,381.66 : 303,759.18 = 102,611.50 : x
  2. Step 2: Convert to fraction form
    202,381.66/303,759.18 = 102,611.50/x
  3. Step 3: Cross multiply
    202,381.66x = 303,759.18 × 102,611.50
  4. Step 4: Simplify right side
    202,381.66x = 31,169,185,098.57
  5. Step 5: Solve for x
    x = 31,169,185,098.57/202,381.66
  6. Step 6: Final answer
    x = 154,011.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.