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Finding the Fourth Proportional to 124,846, 172,287.54 and 68,257.84

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Solution

The fourth proportional to 124,846, 172,287.54 and 68,257.84 is: 94,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,846 : 172,287.54 = 68,257.84 : x
  2. Step 2: Convert to fraction form
    124,846/172,287.54 = 68,257.84/x
  3. Step 3: Cross multiply
    124,846x = 172,287.54 × 68,257.84
  4. Step 4: Simplify right side
    124,846x = 11,759,975,339.31
  5. Step 5: Solve for x
    x = 11,759,975,339.31/124,846
  6. Step 6: Final answer
    x = 94,195.85

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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.