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Finding the Fourth Proportional to 100,238.87, 138,329.62 and 54,918.46

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Solution

The fourth proportional to 100,238.87, 138,329.62 and 54,918.46 is: 75,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,238.87 : 138,329.62 = 54,918.46 : x
  2. Step 2: Convert to fraction form
    100,238.87/138,329.62 = 54,918.46/x
  3. Step 3: Cross multiply
    100,238.87x = 138,329.62 × 54,918.46
  4. Step 4: Simplify right side
    100,238.87x = 7,596,849,702.79
  5. Step 5: Solve for x
    x = 7,596,849,702.79/100,238.87
  6. Step 6: Final answer
    x = 75,787.46

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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.