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Finding the Fourth Proportional to 146,604.48, 202,326.48 and 82,954.52

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Solution

The fourth proportional to 146,604.48, 202,326.48 and 82,954.52 is: 114,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,604.48 : 202,326.48 = 82,954.52 : x
  2. Step 2: Convert to fraction form
    146,604.48/202,326.48 = 82,954.52/x
  3. Step 3: Cross multiply
    146,604.48x = 202,326.48 × 82,954.52
  4. Step 4: Simplify right side
    146,604.48x = 16,783,896,031.69
  5. Step 5: Solve for x
    x = 16,783,896,031.69/146,604.48
  6. Step 6: Final answer
    x = 114,484.20

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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.