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Finding the Fourth Proportional to 264,208.72, 396,386.52 and 106,400.20

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Solution

The fourth proportional to 264,208.72, 396,386.52 and 106,400.20 is: 159,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,208.72 : 396,386.52 = 106,400.20 : x
  2. Step 2: Convert to fraction form
    264,208.72/396,386.52 = 106,400.20/x
  3. Step 3: Cross multiply
    264,208.72x = 396,386.52 × 106,400.20
  4. Step 4: Simplify right side
    264,208.72x = 42,175,605,005.30
  5. Step 5: Solve for x
    x = 42,175,605,005.30/264,208.72
  6. Step 6: Final answer
    x = 159,629.88

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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.