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Finding the Fourth Proportional to 155,716.74, 214,889.09 and 84,096.77

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Solution

The fourth proportional to 155,716.74, 214,889.09 and 84,096.77 is: 116,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,716.74 : 214,889.09 = 84,096.77 : x
  2. Step 2: Convert to fraction form
    155,716.74/214,889.09 = 84,096.77/x
  3. Step 3: Cross multiply
    155,716.74x = 214,889.09 × 84,096.77
  4. Step 4: Simplify right side
    155,716.74x = 18,071,476,882.31
  5. Step 5: Solve for x
    x = 18,071,476,882.31/155,716.74
  6. Step 6: Final answer
    x = 116,053.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.