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Finding the Fourth Proportional to 120,508.70, 180,762.14 and 36,268.50

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Solution

The fourth proportional to 120,508.70, 180,762.14 and 36,268.50 is: 54,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,508.70 : 180,762.14 = 36,268.50 : x
  2. Step 2: Convert to fraction form
    120,508.70/180,762.14 = 36,268.50/x
  3. Step 3: Cross multiply
    120,508.70x = 180,762.14 × 36,268.50
  4. Step 4: Simplify right side
    120,508.70x = 6,555,971,674.59
  5. Step 5: Solve for x
    x = 6,555,971,674.59/120,508.70
  6. Step 6: Final answer
    x = 54,402.48

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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.