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Finding the Fourth Proportional to 100,398, 138,549.24 and 55,686

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Solution

The fourth proportional to 100,398, 138,549.24 and 55,686 is: 76,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398 : 138,549.24 = 55,686 : x
  2. Step 2: Convert to fraction form
    100,398/138,549.24 = 55,686/x
  3. Step 3: Cross multiply
    100,398x = 138,549.24 × 55,686
  4. Step 4: Simplify right side
    100,398x = 7,715,252,978.64
  5. Step 5: Solve for x
    x = 7,715,252,978.64/100,398
  6. Step 6: Final answer
    x = 76,846.68

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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.