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Finding the Fourth Proportional to 333,069.50, 459,635.92 and 182,166.50

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Solution

The fourth proportional to 333,069.50, 459,635.92 and 182,166.50 is: 251,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,069.50 : 459,635.92 = 182,166.50 : x
  2. Step 2: Convert to fraction form
    333,069.50/459,635.92 = 182,166.50/x
  3. Step 3: Cross multiply
    333,069.50x = 459,635.92 × 182,166.50
  4. Step 4: Simplify right side
    333,069.50x = 83,730,266,820.68
  5. Step 5: Solve for x
    x = 83,730,266,820.68/333,069.50
  6. Step 6: Final answer
    x = 251,389.78

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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.