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Finding the Fourth Proportional to 120,056.40, 180,093.71 and 35,809.97

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Solution

The fourth proportional to 120,056.40, 180,093.71 and 35,809.97 is: 53,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,056.40 : 180,093.71 = 35,809.97 : x
  2. Step 2: Convert to fraction form
    120,056.40/180,093.71 = 35,809.97/x
  3. Step 3: Cross multiply
    120,056.40x = 180,093.71 × 35,809.97
  4. Step 4: Simplify right side
    120,056.40x = 6,449,149,541.35
  5. Step 5: Solve for x
    x = 6,449,149,541.35/120,056.40
  6. Step 6: Final answer
    x = 53,717.67

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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.