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Finding the Fourth Proportional to 201,097.30, 301,645.84 and 51,337.54

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Solution

The fourth proportional to 201,097.30, 301,645.84 and 51,337.54 is: 77,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,097.30 : 301,645.84 = 51,337.54 : x
  2. Step 2: Convert to fraction form
    201,097.30/301,645.84 = 51,337.54/x
  3. Step 3: Cross multiply
    201,097.30x = 301,645.84 × 51,337.54
  4. Step 4: Simplify right side
    201,097.30x = 15,485,755,376.83
  5. Step 5: Solve for x
    x = 15,485,755,376.83/201,097.30
  6. Step 6: Final answer
    x = 77,006.28

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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.