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Finding the Fourth Proportional to 151,063.68, 226,595.50 and 71,938

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Solution

The fourth proportional to 151,063.68, 226,595.50 and 71,938 is: 107,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,063.68 : 226,595.50 = 71,938 : x
  2. Step 2: Convert to fraction form
    151,063.68/226,595.50 = 71,938/x
  3. Step 3: Cross multiply
    151,063.68x = 226,595.50 × 71,938
  4. Step 4: Simplify right side
    151,063.68x = 16,300,827,079
  5. Step 5: Solve for x
    x = 16,300,827,079/151,063.68
  6. Step 6: Final answer
    x = 107,906.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.