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Finding the Fourth Proportional to 232,633.25, 348,951.71 and 127,394.81

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Solution

The fourth proportional to 232,633.25, 348,951.71 and 127,394.81 is: 191,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,633.25 : 348,951.71 = 127,394.81 : x
  2. Step 2: Convert to fraction form
    232,633.25/348,951.71 = 127,394.81/x
  3. Step 3: Cross multiply
    232,633.25x = 348,951.71 × 127,394.81
  4. Step 4: Simplify right side
    232,633.25x = 44,454,636,676.92
  5. Step 5: Solve for x
    x = 44,454,636,676.92/232,633.25
  6. Step 6: Final answer
    x = 191,093.22

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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.