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Finding the Fourth Proportional to 83,425.94, 124,848.02 and 68,257.76

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Solution

The fourth proportional to 83,425.94, 124,848.02 and 68,257.76 is: 102,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,425.94 : 124,848.02 = 68,257.76 : x
  2. Step 2: Convert to fraction form
    83,425.94/124,848.02 = 68,257.76/x
  3. Step 3: Cross multiply
    83,425.94x = 124,848.02 × 68,257.76
  4. Step 4: Simplify right side
    83,425.94x = 8,521,846,185.64
  5. Step 5: Solve for x
    x = 8,521,846,185.64/83,425.94
  6. Step 6: Final answer
    x = 102,148.64

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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.