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Finding the Fourth Proportional to 333,191.52, 459,802.92 and 180,229.80

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Solution

The fourth proportional to 333,191.52, 459,802.92 and 180,229.80 is: 248,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,191.52 : 459,802.92 = 180,229.80 : x
  2. Step 2: Convert to fraction form
    333,191.52/459,802.92 = 180,229.80/x
  3. Step 3: Cross multiply
    333,191.52x = 459,802.92 × 180,229.80
  4. Step 4: Simplify right side
    333,191.52x = 82,870,188,311.02
  5. Step 5: Solve for x
    x = 82,870,188,311.02/333,191.52
  6. Step 6: Final answer
    x = 248,716.38

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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.