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Finding the Fourth Proportional to 100,238.84, 138,329.64 and 54,918.48

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Solution

The fourth proportional to 100,238.84, 138,329.64 and 54,918.48 is: 75,787.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,238.84 : 138,329.64 = 54,918.48 : x
  2. Step 2: Convert to fraction form
    100,238.84/138,329.64 = 54,918.48/x
  3. Step 3: Cross multiply
    100,238.84x = 138,329.64 × 54,918.48
  4. Step 4: Simplify right side
    100,238.84x = 7,596,853,567.75
  5. Step 5: Solve for x
    x = 7,596,853,567.75/100,238.84
  6. Step 6: Final answer
    x = 75,787.53

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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.