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Finding the Fourth Proportional to 224,503.84, 309,815.45 and 167,192.43

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Solution

The fourth proportional to 224,503.84, 309,815.45 and 167,192.43 is: 230,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,503.84 : 309,815.45 = 167,192.43 : x
  2. Step 2: Convert to fraction form
    224,503.84/309,815.45 = 167,192.43/x
  3. Step 3: Cross multiply
    224,503.84x = 309,815.45 × 167,192.43
  4. Step 4: Simplify right side
    224,503.84x = 51,798,797,937.04
  5. Step 5: Solve for x
    x = 51,798,797,937.04/224,503.84
  6. Step 6: Final answer
    x = 230,725.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.