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Finding the Fourth Proportional to 234,098.74, 323,056.20 and 126,668.83

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Solution

The fourth proportional to 234,098.74, 323,056.20 and 126,668.83 is: 174,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,098.74 : 323,056.20 = 126,668.83 : x
  2. Step 2: Convert to fraction form
    234,098.74/323,056.20 = 126,668.83/x
  3. Step 3: Cross multiply
    234,098.74x = 323,056.20 × 126,668.83
  4. Step 4: Simplify right side
    234,098.74x = 40,921,150,878.25
  5. Step 5: Solve for x
    x = 40,921,150,878.25/234,098.74
  6. Step 6: Final answer
    x = 174,802.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.