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Finding the Fourth Proportional to 270,108.34, 405,416.75 and 137,084.06

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Solution

The fourth proportional to 270,108.34, 405,416.75 and 137,084.06 is: 205,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,108.34 : 405,416.75 = 137,084.06 : x
  2. Step 2: Convert to fraction form
    270,108.34/405,416.75 = 137,084.06/x
  3. Step 3: Cross multiply
    270,108.34x = 405,416.75 × 137,084.06
  4. Step 4: Simplify right side
    270,108.34x = 55,576,174,410.13
  5. Step 5: Solve for x
    x = 55,576,174,410.13/270,108.34
  6. Step 6: Final answer
    x = 205,755.12

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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.