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Finding the Fourth Proportional to 120,980.96, 181,474.72 and 46,091.60

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Solution

The fourth proportional to 120,980.96, 181,474.72 and 46,091.60 is: 69,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980.96 : 181,474.72 = 46,091.60 : x
  2. Step 2: Convert to fraction form
    120,980.96/181,474.72 = 46,091.60/x
  3. Step 3: Cross multiply
    120,980.96x = 181,474.72 × 46,091.60
  4. Step 4: Simplify right side
    120,980.96x = 8,364,460,204.35
  5. Step 5: Solve for x
    x = 8,364,460,204.35/120,980.96
  6. Step 6: Final answer
    x = 69,138.65

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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.