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Finding the Fourth Proportional to 183,548.14, 253,281.54 and 102,964.48

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Solution

The fourth proportional to 183,548.14, 253,281.54 and 102,964.48 is: 142,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,548.14 : 253,281.54 = 102,964.48 : x
  2. Step 2: Convert to fraction form
    183,548.14/253,281.54 = 102,964.48/x
  3. Step 3: Cross multiply
    183,548.14x = 253,281.54 × 102,964.48
  4. Step 4: Simplify right side
    183,548.14x = 26,079,002,059.70
  5. Step 5: Solve for x
    x = 26,079,002,059.70/183,548.14
  6. Step 6: Final answer
    x = 142,082.63

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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.