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Finding the Fourth Proportional to 238,145, 328,640.10 and 132,161

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Solution

The fourth proportional to 238,145, 328,640.10 and 132,161 is: 182,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,145 : 328,640.10 = 132,161 : x
  2. Step 2: Convert to fraction form
    238,145/328,640.10 = 132,161/x
  3. Step 3: Cross multiply
    238,145x = 328,640.10 × 132,161
  4. Step 4: Simplify right side
    238,145x = 43,433,404,256.10
  5. Step 5: Solve for x
    x = 43,433,404,256.10/238,145
  6. Step 6: Final answer
    x = 182,382.18

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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.