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Finding the Fourth Proportional to 140,597.73, 194,024.84 and 76,935.51

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Solution

The fourth proportional to 140,597.73, 194,024.84 and 76,935.51 is: 106,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,597.73 : 194,024.84 = 76,935.51 : x
  2. Step 2: Convert to fraction form
    140,597.73/194,024.84 = 76,935.51/x
  3. Step 3: Cross multiply
    140,597.73x = 194,024.84 × 76,935.51
  4. Step 4: Simplify right side
    140,597.73x = 14,927,399,633.39
  5. Step 5: Solve for x
    x = 14,927,399,633.39/140,597.73
  6. Step 6: Final answer
    x = 106,170.99

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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.