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Finding the Fourth Proportional to 200,829.74, 300,769.65 and 174,390.80

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Solution

The fourth proportional to 200,829.74, 300,769.65 and 174,390.80 is: 261,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,829.74 : 300,769.65 = 174,390.80 : x
  2. Step 2: Convert to fraction form
    200,829.74/300,769.65 = 174,390.80/x
  3. Step 3: Cross multiply
    200,829.74x = 300,769.65 × 174,390.80
  4. Step 4: Simplify right side
    200,829.74x = 52,451,459,879.22
  5. Step 5: Solve for x
    x = 52,451,459,879.22/200,829.74
  6. Step 6: Final answer
    x = 261,173.77

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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.