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Finding the Fourth Proportional to 264,205.52, 396,303.70 and 106,429.96

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Solution

The fourth proportional to 264,205.52, 396,303.70 and 106,429.96 is: 159,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,205.52 : 396,303.70 = 106,429.96 : x
  2. Step 2: Convert to fraction form
    264,205.52/396,303.70 = 106,429.96/x
  3. Step 3: Cross multiply
    264,205.52x = 396,303.70 × 106,429.96
  4. Step 4: Simplify right side
    264,205.52x = 42,178,586,938.85
  5. Step 5: Solve for x
    x = 42,178,586,938.85/264,205.52
  6. Step 6: Final answer
    x = 159,643.10

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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.