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Finding the Fourth Proportional to 238,272.98, 357,304.50 and 111,949.16

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Solution

The fourth proportional to 238,272.98, 357,304.50 and 111,949.16 is: 167,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,272.98 : 357,304.50 = 111,949.16 : x
  2. Step 2: Convert to fraction form
    238,272.98/357,304.50 = 111,949.16/x
  3. Step 3: Cross multiply
    238,272.98x = 357,304.50 × 111,949.16
  4. Step 4: Simplify right side
    238,272.98x = 39,999,936,852.70
  5. Step 5: Solve for x
    x = 39,999,936,852.70/238,272.98
  6. Step 6: Final answer
    x = 167,874.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.