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Finding the Fourth Proportional to 213,423.50, 320,108.70 and 133,468.58

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Solution

The fourth proportional to 213,423.50, 320,108.70 and 133,468.58 is: 200,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,423.50 : 320,108.70 = 133,468.58 : x
  2. Step 2: Convert to fraction form
    213,423.50/320,108.70 = 133,468.58/x
  3. Step 3: Cross multiply
    213,423.50x = 320,108.70 × 133,468.58
  4. Step 4: Simplify right side
    213,423.50x = 42,724,453,634.65
  5. Step 5: Solve for x
    x = 42,724,453,634.65/213,423.50
  6. Step 6: Final answer
    x = 200,186.27

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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.