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Finding the Fourth Proportional to 232,563.08, 348,845.97 and 82,809.15

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Solution

The fourth proportional to 232,563.08, 348,845.97 and 82,809.15 is: 124,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,563.08 : 348,845.97 = 82,809.15 : x
  2. Step 2: Convert to fraction form
    232,563.08/348,845.97 = 82,809.15/x
  3. Step 3: Cross multiply
    232,563.08x = 348,845.97 × 82,809.15
  4. Step 4: Simplify right side
    232,563.08x = 28,887,638,256.63
  5. Step 5: Solve for x
    x = 28,887,638,256.63/232,563.08
  6. Step 6: Final answer
    x = 124,214.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.