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Finding the Fourth Proportional to 238,546, 328,846.56 and 166,702.96

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Solution

The fourth proportional to 238,546, 328,846.56 and 166,702.96 is: 229,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,546 : 328,846.56 = 166,702.96 : x
  2. Step 2: Convert to fraction form
    238,546/328,846.56 = 166,702.96/x
  3. Step 3: Cross multiply
    238,546x = 328,846.56 × 166,702.96
  4. Step 4: Simplify right side
    238,546x = 54,819,694,937.82
  5. Step 5: Solve for x
    x = 54,819,694,937.82/238,546
  6. Step 6: Final answer
    x = 229,807.65

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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.