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Finding the Fourth Proportional to 232,477.80, 348,383.68 and 132,431.41

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Solution

The fourth proportional to 232,477.80, 348,383.68 and 132,431.41 is: 198,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,477.80 : 348,383.68 = 132,431.41 : x
  2. Step 2: Convert to fraction form
    232,477.80/348,383.68 = 132,431.41/x
  3. Step 3: Cross multiply
    232,477.80x = 348,383.68 × 132,431.41
  4. Step 4: Simplify right side
    232,477.80x = 46,136,940,853.06
  5. Step 5: Solve for x
    x = 46,136,940,853.06/232,477.80
  6. Step 6: Final answer
    x = 198,457.41

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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.