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Finding the Fourth Proportional to 228,138.96, 314,826.30 and 132,678.84

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Solution

The fourth proportional to 228,138.96, 314,826.30 and 132,678.84 is: 183,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,138.96 : 314,826.30 = 132,678.84 : x
  2. Step 2: Convert to fraction form
    228,138.96/314,826.30 = 132,678.84/x
  3. Step 3: Cross multiply
    228,138.96x = 314,826.30 × 132,678.84
  4. Step 4: Simplify right side
    228,138.96x = 41,770,788,285.49
  5. Step 5: Solve for x
    x = 41,770,788,285.49/228,138.96
  6. Step 6: Final answer
    x = 183,093.62

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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.