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Finding the Fourth Proportional to 234,058, 323,008.35 and 132,108.28

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Solution

The fourth proportional to 234,058, 323,008.35 and 132,108.28 is: 182,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,058 : 323,008.35 = 132,108.28 : x
  2. Step 2: Convert to fraction form
    234,058/323,008.35 = 132,108.28/x
  3. Step 3: Cross multiply
    234,058x = 323,008.35 × 132,108.28
  4. Step 4: Simplify right side
    234,058x = 42,672,077,544.14
  5. Step 5: Solve for x
    x = 42,672,077,544.14/234,058
  6. Step 6: Final answer
    x = 182,314.12

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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.