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Finding the Fourth Proportional to 120,093.68, 180,166.25 and 35,860.48

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Solution

The fourth proportional to 120,093.68, 180,166.25 and 35,860.48 is: 53,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,093.68 : 180,166.25 = 35,860.48 : x
  2. Step 2: Convert to fraction form
    120,093.68/180,166.25 = 35,860.48/x
  3. Step 3: Cross multiply
    120,093.68x = 180,166.25 × 35,860.48
  4. Step 4: Simplify right side
    120,093.68x = 6,460,847,844.04
  5. Step 5: Solve for x
    x = 6,460,847,844.04/120,093.68
  6. Step 6: Final answer
    x = 53,798.40

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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.