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Finding the Fourth Proportional to 264,171.30, 396,256.95 and 77,182.80

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Solution

The fourth proportional to 264,171.30, 396,256.95 and 77,182.80 is: 115,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,171.30 : 396,256.95 = 77,182.80 : x
  2. Step 2: Convert to fraction form
    264,171.30/396,256.95 = 77,182.80/x
  3. Step 3: Cross multiply
    264,171.30x = 396,256.95 × 77,182.80
  4. Step 4: Simplify right side
    264,171.30x = 30,584,220,920.46
  5. Step 5: Solve for x
    x = 30,584,220,920.46/264,171.30
  6. Step 6: Final answer
    x = 115,774.20

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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.