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Finding the Fourth Proportional to 238,662.51, 329,272.31 and 147,985.84

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Solution

The fourth proportional to 238,662.51, 329,272.31 and 147,985.84 is: 204,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,662.51 : 329,272.31 = 147,985.84 : x
  2. Step 2: Convert to fraction form
    238,662.51/329,272.31 = 147,985.84/x
  3. Step 3: Cross multiply
    238,662.51x = 329,272.31 × 147,985.84
  4. Step 4: Simplify right side
    238,662.51x = 48,727,639,333.23
  5. Step 5: Solve for x
    x = 48,727,639,333.23/238,662.51
  6. Step 6: Final answer
    x = 204,169.65

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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.