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Finding the Fourth Proportional to 199,304.46, 275,046.78 and 118,720.98

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Solution

The fourth proportional to 199,304.46, 275,046.78 and 118,720.98 is: 163,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,304.46 : 275,046.78 = 118,720.98 : x
  2. Step 2: Convert to fraction form
    199,304.46/275,046.78 = 118,720.98/x
  3. Step 3: Cross multiply
    199,304.46x = 275,046.78 × 118,720.98
  4. Step 4: Simplify right side
    199,304.46x = 32,653,823,267.44
  5. Step 5: Solve for x
    x = 32,653,823,267.44/199,304.46
  6. Step 6: Final answer
    x = 163,838.90

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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.