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Finding the Fourth Proportional to 183,880, 253,757.76 and 102,215.92

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Solution

The fourth proportional to 183,880, 253,757.76 and 102,215.92 is: 141,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,880 : 253,757.76 = 102,215.92 : x
  2. Step 2: Convert to fraction form
    183,880/253,757.76 = 102,215.92/x
  3. Step 3: Cross multiply
    183,880x = 253,757.76 × 102,215.92
  4. Step 4: Simplify right side
    183,880x = 25,938,082,895.54
  5. Step 5: Solve for x
    x = 25,938,082,895.54/183,880
  6. Step 6: Final answer
    x = 141,059.84

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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.