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Finding the Fourth Proportional to 234,214.51, 351,269.23 and 107,733.29

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Solution

The fourth proportional to 234,214.51, 351,269.23 and 107,733.29 is: 161,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,214.51 : 351,269.23 = 107,733.29 : x
  2. Step 2: Convert to fraction form
    234,214.51/351,269.23 = 107,733.29/x
  3. Step 3: Cross multiply
    234,214.51x = 351,269.23 × 107,733.29
  4. Step 4: Simplify right side
    234,214.51x = 37,843,390,278.88
  5. Step 5: Solve for x
    x = 37,843,390,278.88/234,214.51
  6. Step 6: Final answer
    x = 161,575.77

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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.