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Finding the Fourth Proportional to 194,959.58, 269,038.97 and 106,551.30

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Solution

The fourth proportional to 194,959.58, 269,038.97 and 106,551.30 is: 147,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,959.58 : 269,038.97 = 106,551.30 : x
  2. Step 2: Convert to fraction form
    194,959.58/269,038.97 = 106,551.30/x
  3. Step 3: Cross multiply
    194,959.58x = 269,038.97 × 106,551.30
  4. Step 4: Simplify right side
    194,959.58x = 28,666,451,366.52
  5. Step 5: Solve for x
    x = 28,666,451,366.52/194,959.58
  6. Step 6: Final answer
    x = 147,037.92

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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.