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Finding the Fourth Proportional to 120,503.70, 180,754.64 and 36,263.50

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Solution

The fourth proportional to 120,503.70, 180,754.64 and 36,263.50 is: 54,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,503.70 : 180,754.64 = 36,263.50 : x
  2. Step 2: Convert to fraction form
    120,503.70/180,754.64 = 36,263.50/x
  3. Step 3: Cross multiply
    120,503.70x = 180,754.64 × 36,263.50
  4. Step 4: Simplify right side
    120,503.70x = 6,554,795,390.42
  5. Step 5: Solve for x
    x = 6,554,795,390.42/120,503.70
  6. Step 6: Final answer
    x = 54,394.97

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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.