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Finding the Fourth Proportional to 224,895.94, 337,136.31 and 112,478.33

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Solution

The fourth proportional to 224,895.94, 337,136.31 and 112,478.33 is: 168,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,895.94 : 337,136.31 = 112,478.33 : x
  2. Step 2: Convert to fraction form
    224,895.94/337,136.31 = 112,478.33/x
  3. Step 3: Cross multiply
    224,895.94x = 337,136.31 × 112,478.33
  4. Step 4: Simplify right side
    224,895.94x = 37,920,529,974.00
  5. Step 5: Solve for x
    x = 37,920,529,974.00/224,895.94
  6. Step 6: Final answer
    x = 168,613.67

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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.