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Finding the Fourth Proportional to 220,304.45, 304,021.98 and 119,702.45

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Solution

The fourth proportional to 220,304.45, 304,021.98 and 119,702.45 is: 165,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,304.45 : 304,021.98 = 119,702.45 : x
  2. Step 2: Convert to fraction form
    220,304.45/304,021.98 = 119,702.45/x
  3. Step 3: Cross multiply
    220,304.45x = 304,021.98 × 119,702.45
  4. Step 4: Simplify right side
    220,304.45x = 36,392,174,339.74
  5. Step 5: Solve for x
    x = 36,392,174,339.74/220,304.45
  6. Step 6: Final answer
    x = 165,190.38

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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.