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Finding the Fourth Proportional to 272,677.74, 408,819.77 and 114,820.06

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Solution

The fourth proportional to 272,677.74, 408,819.77 and 114,820.06 is: 172,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,677.74 : 408,819.77 = 114,820.06 : x
  2. Step 2: Convert to fraction form
    272,677.74/408,819.77 = 114,820.06/x
  3. Step 3: Cross multiply
    272,677.74x = 408,819.77 × 114,820.06
  4. Step 4: Simplify right side
    272,677.74x = 46,940,710,520.59
  5. Step 5: Solve for x
    x = 46,940,710,520.59/272,677.74
  6. Step 6: Final answer
    x = 172,147.20

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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.