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Finding the Fourth Proportional to 100,308.48, 138,424.80 and 54,989.04

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Solution

The fourth proportional to 100,308.48, 138,424.80 and 54,989.04 is: 75,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,308.48 : 138,424.80 = 54,989.04 : x
  2. Step 2: Convert to fraction form
    100,308.48/138,424.80 = 54,989.04/x
  3. Step 3: Cross multiply
    100,308.48x = 138,424.80 × 54,989.04
  4. Step 4: Simplify right side
    100,308.48x = 7,611,846,864.19
  5. Step 5: Solve for x
    x = 7,611,846,864.19/100,308.48
  6. Step 6: Final answer
    x = 75,884.38

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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.