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Finding the Fourth Proportional to 176,276.30, 264,025.65 and 106,033.10

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Solution

The fourth proportional to 176,276.30, 264,025.65 and 106,033.10 is: 158,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,276.30 : 264,025.65 = 106,033.10 : x
  2. Step 2: Convert to fraction form
    176,276.30/264,025.65 = 106,033.10/x
  3. Step 3: Cross multiply
    176,276.30x = 264,025.65 × 106,033.10
  4. Step 4: Simplify right side
    176,276.30x = 27,995,458,149.02
  5. Step 5: Solve for x
    x = 27,995,458,149.02/176,276.30
  6. Step 6: Final answer
    x = 158,815.78

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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.