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Finding the Fourth Proportional to 200,178.24, 300,267.84 and 162,559.68

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Solution

The fourth proportional to 200,178.24, 300,267.84 and 162,559.68 is: 243,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,178.24 : 300,267.84 = 162,559.68 : x
  2. Step 2: Convert to fraction form
    200,178.24/300,267.84 = 162,559.68/x
  3. Step 3: Cross multiply
    200,178.24x = 300,267.84 × 162,559.68
  4. Step 4: Simplify right side
    200,178.24x = 48,811,443,984.69
  5. Step 5: Solve for x
    x = 48,811,443,984.69/200,178.24
  6. Step 6: Final answer
    x = 243,839.91

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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.