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Finding the Fourth Proportional to 273,810.41, 410,862.65 and 113,996.66

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Solution

The fourth proportional to 273,810.41, 410,862.65 and 113,996.66 is: 171,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,810.41 : 410,862.65 = 113,996.66 : x
  2. Step 2: Convert to fraction form
    273,810.41/410,862.65 = 113,996.66/x
  3. Step 3: Cross multiply
    273,810.41x = 410,862.65 × 113,996.66
  4. Step 4: Simplify right side
    273,810.41x = 46,836,969,818.75
  5. Step 5: Solve for x
    x = 46,836,969,818.75/273,810.41
  6. Step 6: Final answer
    x = 171,056.21

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Why These Related Problems?

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