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Finding the Fourth Proportional to 176,458.20, 264,687.30 and 106,474.20

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Solution

The fourth proportional to 176,458.20, 264,687.30 and 106,474.20 is: 159,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,458.20 : 264,687.30 = 106,474.20 : x
  2. Step 2: Convert to fraction form
    176,458.20/264,687.30 = 106,474.20/x
  3. Step 3: Cross multiply
    176,458.20x = 264,687.30 × 106,474.20
  4. Step 4: Simplify right side
    176,458.20x = 28,182,368,517.66
  5. Step 5: Solve for x
    x = 28,182,368,517.66/176,458.20
  6. Step 6: Final answer
    x = 159,711.30

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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.