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Finding the Fourth Proportional to 264,671.61, 396,784.22 and 114,799.02

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Solution

The fourth proportional to 264,671.61, 396,784.22 and 114,799.02 is: 172,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,671.61 : 396,784.22 = 114,799.02 : x
  2. Step 2: Convert to fraction form
    264,671.61/396,784.22 = 114,799.02/x
  3. Step 3: Cross multiply
    264,671.61x = 396,784.22 × 114,799.02
  4. Step 4: Simplify right side
    264,671.61x = 45,550,439,033.47
  5. Step 5: Solve for x
    x = 45,550,439,033.47/264,671.61
  6. Step 6: Final answer
    x = 172,101.72

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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.