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Finding the Fourth Proportional to 200,829.24, 300,768.90 and 174,390.30

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Solution

The fourth proportional to 200,829.24, 300,768.90 and 174,390.30 is: 261,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,829.24 : 300,768.90 = 174,390.30 : x
  2. Step 2: Convert to fraction form
    200,829.24/300,768.90 = 174,390.30/x
  3. Step 3: Cross multiply
    200,829.24x = 300,768.90 × 174,390.30
  4. Step 4: Simplify right side
    200,829.24x = 52,451,178,701.67
  5. Step 5: Solve for x
    x = 52,451,178,701.67/200,829.24
  6. Step 6: Final answer
    x = 261,173.02

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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.