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Finding the Fourth Proportional to 201,070.09, 301,604.94 and 51,310.38

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Solution

The fourth proportional to 201,070.09, 301,604.94 and 51,310.38 is: 76,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,070.09 : 301,604.94 = 51,310.38 : x
  2. Step 2: Convert to fraction form
    201,070.09/301,604.94 = 51,310.38/x
  3. Step 3: Cross multiply
    201,070.09x = 301,604.94 × 51,310.38
  4. Step 4: Simplify right side
    201,070.09x = 15,475,462,950.26
  5. Step 5: Solve for x
    x = 15,475,462,950.26/201,070.09
  6. Step 6: Final answer
    x = 76,965.51

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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.