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Finding the Fourth Proportional to 264,139.40, 396,233.40 and 106,335.20

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Solution

The fourth proportional to 264,139.40, 396,233.40 and 106,335.20 is: 159,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,139.40 : 396,233.40 = 106,335.20 : x
  2. Step 2: Convert to fraction form
    264,139.40/396,233.40 = 106,335.20/x
  3. Step 3: Cross multiply
    264,139.40x = 396,233.40 × 106,335.20
  4. Step 4: Simplify right side
    264,139.40x = 42,133,557,835.68
  5. Step 5: Solve for x
    x = 42,133,557,835.68/264,139.40
  6. Step 6: Final answer
    x = 159,512.58

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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.