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Finding the Fourth Proportional to 234,893.20, 324,148.12 and 132,916.81

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Solution

The fourth proportional to 234,893.20, 324,148.12 and 132,916.81 is: 183,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,893.20 : 324,148.12 = 132,916.81 : x
  2. Step 2: Convert to fraction form
    234,893.20/324,148.12 = 132,916.81/x
  3. Step 3: Cross multiply
    234,893.20x = 324,148.12 × 132,916.81
  4. Step 4: Simplify right side
    234,893.20x = 43,084,734,077.90
  5. Step 5: Solve for x
    x = 43,084,734,077.90/234,893.20
  6. Step 6: Final answer
    x = 183,422.65

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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.