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Finding the Fourth Proportional to 264,038.60, 396,252.30 and 106,380.20

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Solution

The fourth proportional to 264,038.60, 396,252.30 and 106,380.20 is: 159,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,038.60 : 396,252.30 = 106,380.20 : x
  2. Step 2: Convert to fraction form
    264,038.60/396,252.30 = 106,380.20/x
  3. Step 3: Cross multiply
    264,038.60x = 396,252.30 × 106,380.20
  4. Step 4: Simplify right side
    264,038.60x = 42,153,398,924.46
  5. Step 5: Solve for x
    x = 42,153,398,924.46/264,038.60
  6. Step 6: Final answer
    x = 159,648.62

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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.