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Finding the Fourth Proportional to 176,546.80, 264,474.60 and 106,217.20

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Solution

The fourth proportional to 176,546.80, 264,474.60 and 106,217.20 is: 159,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,546.80 : 264,474.60 = 106,217.20 : x
  2. Step 2: Convert to fraction form
    176,546.80/264,474.60 = 106,217.20/x
  3. Step 3: Cross multiply
    176,546.80x = 264,474.60 × 106,217.20
  4. Step 4: Simplify right side
    176,546.80x = 28,091,751,483.12
  5. Step 5: Solve for x
    x = 28,091,751,483.12/176,546.80
  6. Step 6: Final answer
    x = 159,117.87

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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.