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Finding the Fourth Proportional to 140,923.80, 194,474.52 and 77,267.52

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Solution

The fourth proportional to 140,923.80, 194,474.52 and 77,267.52 is: 106,629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,923.80 : 194,474.52 = 77,267.52 : x
  2. Step 2: Convert to fraction form
    140,923.80/194,474.52 = 77,267.52/x
  3. Step 3: Cross multiply
    140,923.80x = 194,474.52 × 77,267.52
  4. Step 4: Simplify right side
    140,923.80x = 15,026,563,863.59
  5. Step 5: Solve for x
    x = 15,026,563,863.59/140,923.80
  6. Step 6: Final answer
    x = 106,629.00

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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.