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Finding the Fourth Proportional to 120,093.86, 180,253.65 and 60,971.96

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Solution

The fourth proportional to 120,093.86, 180,253.65 and 60,971.96 is: 91,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,093.86 : 180,253.65 = 60,971.96 : x
  2. Step 2: Convert to fraction form
    120,093.86/180,253.65 = 60,971.96/x
  3. Step 3: Cross multiply
    120,093.86x = 180,253.65 × 60,971.96
  4. Step 4: Simplify right side
    120,093.86x = 10,990,418,337.65
  5. Step 5: Solve for x
    x = 10,990,418,337.65/120,093.86
  6. Step 6: Final answer
    x = 91,515.24

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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.