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Finding the Fourth Proportional to 232,212.78, 320,457.30 and 130,260.90

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Solution

The fourth proportional to 232,212.78, 320,457.30 and 130,260.90 is: 179,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,212.78 : 320,457.30 = 130,260.90 : x
  2. Step 2: Convert to fraction form
    232,212.78/320,457.30 = 130,260.90/x
  3. Step 3: Cross multiply
    232,212.78x = 320,457.30 × 130,260.90
  4. Step 4: Simplify right side
    232,212.78x = 41,743,056,309.57
  5. Step 5: Solve for x
    x = 41,743,056,309.57/232,212.78
  6. Step 6: Final answer
    x = 179,762.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.