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Finding the Fourth Proportional to 541,097.60, 811,761.60 and 167,158.40

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Solution

The fourth proportional to 541,097.60, 811,761.60 and 167,158.40 is: 250,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,097.60 : 811,761.60 = 167,158.40 : x
  2. Step 2: Convert to fraction form
    541,097.60/811,761.60 = 167,158.40/x
  3. Step 3: Cross multiply
    541,097.60x = 811,761.60 × 167,158.40
  4. Step 4: Simplify right side
    541,097.60x = 135,692,770,237.44
  5. Step 5: Solve for x
    x = 135,692,770,237.44/541,097.60
  6. Step 6: Final answer
    x = 250,773.19

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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.