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Finding the Fourth Proportional to 238,970, 329,740 and 136,976.68

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Solution

The fourth proportional to 238,970, 329,740 and 136,976.68 is: 189,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,970 : 329,740 = 136,976.68 : x
  2. Step 2: Convert to fraction form
    238,970/329,740 = 136,976.68/x
  3. Step 3: Cross multiply
    238,970x = 329,740 × 136,976.68
  4. Step 4: Simplify right side
    238,970x = 45,166,690,463.20
  5. Step 5: Solve for x
    x = 45,166,690,463.20/238,970
  6. Step 6: Final answer
    x = 189,005.69

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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.