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Finding the Fourth Proportional to 234,410.10, 323,485.92 and 126,980.11

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Solution

The fourth proportional to 234,410.10, 323,485.92 and 126,980.11 is: 175,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,410.10 : 323,485.92 = 126,980.11 : x
  2. Step 2: Convert to fraction form
    234,410.10/323,485.92 = 126,980.11/x
  3. Step 3: Cross multiply
    234,410.10x = 323,485.92 × 126,980.11
  4. Step 4: Simplify right side
    234,410.10x = 41,076,276,420.16
  5. Step 5: Solve for x
    x = 41,076,276,420.16/234,410.10
  6. Step 6: Final answer
    x = 175,232.54

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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.