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Finding the Fourth Proportional to 275,498.06, 412,852.86 and 156,924.62

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Solution

The fourth proportional to 275,498.06, 412,852.86 and 156,924.62 is: 235,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,498.06 : 412,852.86 = 156,924.62 : x
  2. Step 2: Convert to fraction form
    275,498.06/412,852.86 = 156,924.62/x
  3. Step 3: Cross multiply
    275,498.06x = 412,852.86 × 156,924.62
  4. Step 4: Simplify right side
    275,498.06x = 64,786,778,171.41
  5. Step 5: Solve for x
    x = 64,786,778,171.41/275,498.06
  6. Step 6: Final answer
    x = 235,162.38

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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.