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Finding the Fourth Proportional to 367,457.77, 551,221.43 and 142,835.55

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Solution

The fourth proportional to 367,457.77, 551,221.43 and 142,835.55 is: 214,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,457.77 : 551,221.43 = 142,835.55 : x
  2. Step 2: Convert to fraction form
    367,457.77/551,221.43 = 142,835.55/x
  3. Step 3: Cross multiply
    367,457.77x = 551,221.43 × 142,835.55
  4. Step 4: Simplify right side
    367,457.77x = 78,734,016,846.92
  5. Step 5: Solve for x
    x = 78,734,016,846.92/367,457.77
  6. Step 6: Final answer
    x = 214,266.85

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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.