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Finding the Fourth Proportional to 127,644.87, 191,467.26 and 34,148.19

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Solution

The fourth proportional to 127,644.87, 191,467.26 and 34,148.19 is: 51,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,644.87 : 191,467.26 = 34,148.19 : x
  2. Step 2: Convert to fraction form
    127,644.87/191,467.26 = 34,148.19/x
  3. Step 3: Cross multiply
    127,644.87x = 191,467.26 × 34,148.19
  4. Step 4: Simplify right side
    127,644.87x = 6,538,260,373.26
  5. Step 5: Solve for x
    x = 6,538,260,373.26/127,644.87
  6. Step 6: Final answer
    x = 51,222.27

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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.