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Finding the Fourth Proportional to 202,827, 304,241.70 and 55,083

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Solution

The fourth proportional to 202,827, 304,241.70 and 55,083 is: 82,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,827 : 304,241.70 = 55,083 : x
  2. Step 2: Convert to fraction form
    202,827/304,241.70 = 55,083/x
  3. Step 3: Cross multiply
    202,827x = 304,241.70 × 55,083
  4. Step 4: Simplify right side
    202,827x = 16,758,545,561.10
  5. Step 5: Solve for x
    x = 16,758,545,561.10/202,827
  6. Step 6: Final answer
    x = 82,624.83

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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.