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Finding the Fourth Proportional to 219,980.52, 303,573.12 and 119,378.52

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Solution

The fourth proportional to 219,980.52, 303,573.12 and 119,378.52 is: 164,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,980.52 : 303,573.12 = 119,378.52 : x
  2. Step 2: Convert to fraction form
    219,980.52/303,573.12 = 119,378.52/x
  3. Step 3: Cross multiply
    219,980.52x = 303,573.12 × 119,378.52
  4. Step 4: Simplify right side
    219,980.52x = 36,240,109,777.38
  5. Step 5: Solve for x
    x = 36,240,109,777.38/219,980.52
  6. Step 6: Final answer
    x = 164,742.36

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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.