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Finding the Fourth Proportional to 503,996.94, 756,143.06 and 149,020.20

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Solution

The fourth proportional to 503,996.94, 756,143.06 and 149,020.20 is: 223,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,996.94 : 756,143.06 = 149,020.20 : x
  2. Step 2: Convert to fraction form
    503,996.94/756,143.06 = 149,020.20/x
  3. Step 3: Cross multiply
    503,996.94x = 756,143.06 × 149,020.20
  4. Step 4: Simplify right side
    503,996.94x = 112,680,589,284.71
  5. Step 5: Solve for x
    x = 112,680,589,284.71/503,996.94
  6. Step 6: Final answer
    x = 223,573.96

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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.