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Finding the Fourth Proportional to 140,563.66, 193,974.52 and 76,901.98

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Solution

The fourth proportional to 140,563.66, 193,974.52 and 76,901.98 is: 106,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,563.66 : 193,974.52 = 76,901.98 : x
  2. Step 2: Convert to fraction form
    140,563.66/193,974.52 = 76,901.98/x
  3. Step 3: Cross multiply
    140,563.66x = 193,974.52 × 76,901.98
  4. Step 4: Simplify right side
    140,563.66x = 14,917,023,303.17
  5. Step 5: Solve for x
    x = 14,917,023,303.17/140,563.66
  6. Step 6: Final answer
    x = 106,122.90

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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.