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Finding the Fourth Proportional to 121,787.82, 182,644.84 and 46,902.22

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Solution

The fourth proportional to 121,787.82, 182,644.84 and 46,902.22 is: 70,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,787.82 : 182,644.84 = 46,902.22 : x
  2. Step 2: Convert to fraction form
    121,787.82/182,644.84 = 46,902.22/x
  3. Step 3: Cross multiply
    121,787.82x = 182,644.84 × 46,902.22
  4. Step 4: Simplify right side
    121,787.82x = 8,566,448,467.54
  5. Step 5: Solve for x
    x = 8,566,448,467.54/121,787.82
  6. Step 6: Final answer
    x = 70,339.12

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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.