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Finding the Fourth Proportional to 134,910.50, 202,375.74 and 51,804.50

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Solution

The fourth proportional to 134,910.50, 202,375.74 and 51,804.50 is: 77,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,910.50 : 202,375.74 = 51,804.50 : x
  2. Step 2: Convert to fraction form
    134,910.50/202,375.74 = 51,804.50/x
  3. Step 3: Cross multiply
    134,910.50x = 202,375.74 × 51,804.50
  4. Step 4: Simplify right side
    134,910.50x = 10,483,974,022.83
  5. Step 5: Solve for x
    x = 10,483,974,022.83/134,910.50
  6. Step 6: Final answer
    x = 77,710.59

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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.