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Finding the Fourth Proportional to 270,108.84, 405,417.50 and 137,084.57

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Solution

The fourth proportional to 270,108.84, 405,417.50 and 137,084.57 is: 205,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,108.84 : 405,417.50 = 137,084.57 : x
  2. Step 2: Convert to fraction form
    270,108.84/405,417.50 = 137,084.57/x
  3. Step 3: Cross multiply
    270,108.84x = 405,417.50 × 137,084.57
  4. Step 4: Simplify right side
    270,108.84x = 55,576,480,945.46
  5. Step 5: Solve for x
    x = 55,576,480,945.46/270,108.84
  6. Step 6: Final answer
    x = 205,755.88

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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.