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Finding the Fourth Proportional to 220,276.80, 303,978.24 and 119,674.08

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Solution

The fourth proportional to 220,276.80, 303,978.24 and 119,674.08 is: 165,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,276.80 : 303,978.24 = 119,674.08 : x
  2. Step 2: Convert to fraction form
    220,276.80/303,978.24 = 119,674.08/x
  3. Step 3: Cross multiply
    220,276.80x = 303,978.24 × 119,674.08
  4. Step 4: Simplify right side
    220,276.80x = 36,378,316,212.02
  5. Step 5: Solve for x
    x = 36,378,316,212.02/220,276.80
  6. Step 6: Final answer
    x = 165,148.20

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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.