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Finding the Fourth Proportional to 253,957.28, 380,932.04 and 61,833.50

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Solution

The fourth proportional to 253,957.28, 380,932.04 and 61,833.50 is: 92,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,957.28 : 380,932.04 = 61,833.50 : x
  2. Step 2: Convert to fraction form
    253,957.28/380,932.04 = 61,833.50/x
  3. Step 3: Cross multiply
    253,957.28x = 380,932.04 × 61,833.50
  4. Step 4: Simplify right side
    253,957.28x = 23,554,361,295.34
  5. Step 5: Solve for x
    x = 23,554,361,295.34/253,957.28
  6. Step 6: Final answer
    x = 92,749.31

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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.