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Finding the Fourth Proportional to 222,834.38, 307,411.83 and 132,194.17

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Solution

The fourth proportional to 222,834.38, 307,411.83 and 132,194.17 is: 182,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,834.38 : 307,411.83 = 132,194.17 : x
  2. Step 2: Convert to fraction form
    222,834.38/307,411.83 = 132,194.17/x
  3. Step 3: Cross multiply
    222,834.38x = 307,411.83 × 132,194.17
  4. Step 4: Simplify right side
    222,834.38x = 40,638,050,946.50
  5. Step 5: Solve for x
    x = 40,638,050,946.50/222,834.38
  6. Step 6: Final answer
    x = 182,368.85

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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.