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Finding the Fourth Proportional to 133,478.46, 200,217.69 and 61,424.10

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Solution

The fourth proportional to 133,478.46, 200,217.69 and 61,424.10 is: 92,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,478.46 : 200,217.69 = 61,424.10 : x
  2. Step 2: Convert to fraction form
    133,478.46/200,217.69 = 61,424.10/x
  3. Step 3: Cross multiply
    133,478.46x = 200,217.69 × 61,424.10
  4. Step 4: Simplify right side
    133,478.46x = 12,298,191,412.33
  5. Step 5: Solve for x
    x = 12,298,191,412.33/133,478.46
  6. Step 6: Final answer
    x = 92,136.15

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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.