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Finding the Fourth Proportional to 135,692.96, 203,497.98 and 93,842

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Solution

The fourth proportional to 135,692.96, 203,497.98 and 93,842 is: 140,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,692.96 : 203,497.98 = 93,842 : x
  2. Step 2: Convert to fraction form
    135,692.96/203,497.98 = 93,842/x
  3. Step 3: Cross multiply
    135,692.96x = 203,497.98 × 93,842
  4. Step 4: Simplify right side
    135,692.96x = 19,096,657,439.16
  5. Step 5: Solve for x
    x = 19,096,657,439.16/135,692.96
  6. Step 6: Final answer
    x = 140,734.33

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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.