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Finding the Fourth Proportional to 183,891.74, 253,768.86 and 102,217.86

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Solution

The fourth proportional to 183,891.74, 253,768.86 and 102,217.86 is: 141,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,891.74 : 253,768.86 = 102,217.86 : x
  2. Step 2: Convert to fraction form
    183,891.74/253,768.86 = 102,217.86/x
  3. Step 3: Cross multiply
    183,891.74x = 253,768.86 × 102,217.86
  4. Step 4: Simplify right side
    183,891.74x = 25,939,709,803.84
  5. Step 5: Solve for x
    x = 25,939,709,803.84/183,891.74
  6. Step 6: Final answer
    x = 141,059.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.