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Finding the Fourth Proportional to 242,252.56, 334,022.52 and 165,808.48

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Solution

The fourth proportional to 242,252.56, 334,022.52 and 165,808.48 is: 228,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,252.56 : 334,022.52 = 165,808.48 : x
  2. Step 2: Convert to fraction form
    242,252.56/334,022.52 = 165,808.48/x
  3. Step 3: Cross multiply
    242,252.56x = 334,022.52 × 165,808.48
  4. Step 4: Simplify right side
    242,252.56x = 55,383,766,326.97
  5. Step 5: Solve for x
    x = 55,383,766,326.97/242,252.56
  6. Step 6: Final answer
    x = 228,619.94

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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.