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Finding the Fourth Proportional to 238,344, 328,910.10 and 130,911.54

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Solution

The fourth proportional to 238,344, 328,910.10 and 130,911.54 is: 180,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,344 : 328,910.10 = 130,911.54 : x
  2. Step 2: Convert to fraction form
    238,344/328,910.10 = 130,911.54/x
  3. Step 3: Cross multiply
    238,344x = 328,910.10 × 130,911.54
  4. Step 4: Simplify right side
    238,344x = 43,058,127,712.55
  5. Step 5: Solve for x
    x = 43,058,127,712.55/238,344
  6. Step 6: Final answer
    x = 180,655.39

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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.