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Finding the Fourth Proportional to 334,057.50, 501,115.41 and 84,739.50

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Solution

The fourth proportional to 334,057.50, 501,115.41 and 84,739.50 is: 127,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,057.50 : 501,115.41 = 84,739.50 : x
  2. Step 2: Convert to fraction form
    334,057.50/501,115.41 = 84,739.50/x
  3. Step 3: Cross multiply
    334,057.50x = 501,115.41 × 84,739.50
  4. Step 4: Simplify right side
    334,057.50x = 42,464,269,285.70
  5. Step 5: Solve for x
    x = 42,464,269,285.70/334,057.50
  6. Step 6: Final answer
    x = 127,116.65

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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.