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Finding the Fourth Proportional to 220,077, 303,709.94 and 119,475

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Solution

The fourth proportional to 220,077, 303,709.94 and 119,475 is: 164,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,077 : 303,709.94 = 119,475 : x
  2. Step 2: Convert to fraction form
    220,077/303,709.94 = 119,475/x
  3. Step 3: Cross multiply
    220,077x = 303,709.94 × 119,475
  4. Step 4: Simplify right side
    220,077x = 36,285,745,081.50
  5. Step 5: Solve for x
    x = 36,285,745,081.50/220,077
  6. Step 6: Final answer
    x = 164,877.50

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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.