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Finding the Fourth Proportional to 138,548.98, 207,816 and 54,324.28

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Solution

The fourth proportional to 138,548.98, 207,816 and 54,324.28 is: 81,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,548.98 : 207,816 = 54,324.28 : x
  2. Step 2: Convert to fraction form
    138,548.98/207,816 = 54,324.28/x
  3. Step 3: Cross multiply
    138,548.98x = 207,816 × 54,324.28
  4. Step 4: Simplify right side
    138,548.98x = 11,289,454,572.48
  5. Step 5: Solve for x
    x = 11,289,454,572.48/138,548.98
  6. Step 6: Final answer
    x = 81,483.49

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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.