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Finding the Fourth Proportional to 238,548, 328,849.32 and 166,704.96

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Solution

The fourth proportional to 238,548, 328,849.32 and 166,704.96 is: 229,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,548 : 328,849.32 = 166,704.96 : x
  2. Step 2: Convert to fraction form
    238,548/328,849.32 = 166,704.96/x
  3. Step 3: Cross multiply
    238,548x = 328,849.32 × 166,704.96
  4. Step 4: Simplify right side
    238,548x = 54,820,812,736.63
  5. Step 5: Solve for x
    x = 54,820,812,736.63/238,548
  6. Step 6: Final answer
    x = 229,810.41

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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.